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Most viewed questions in Engineering Mathematics
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GATE2018-2-4
If $y$ is the solution of the differential equation $y^3 \dfrac{dy}{dx}+x^3 = 0, \: y(0)=1,$ the value of $y(-1)$ is $-2$ $-1$ $0$ $1$
If $y$ is the solution of the differential equation $y^3 \dfrac{dy}{dx}+x^3 = 0, \: y(0)=1,$ the value of $y(-1)$ is$-2$$-1$$0$$1$
Arjun
28.7k
points
Arjun
asked
Feb 17, 2018
Differential Equations
gateme-2018-set2
differential-equations
+
–
0
answers
0
votes
GATE2017 ME-2: 26
The surface integral $\int \int _{s} F.n $ dS over the surface $S$ of the sphere $x^{2}+y^{2}+z^{2}=9$, where $F=(x+y) i+(x+z) j+(y+z)k$ and $n$ is the unit outward surface normal, yields ________.
The surface integral $\int \int _{s} F.n $ dS over the surface $S$ of the sphere $x^{2}+y^{2}+z^{2}=9$, where $F=(x+y) i+(x+z) j+(y+z)k$ and $n$ is the unit outward surfa...
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Calculus
gateme-2017-set2
numerical-answers
calculus
surface-integral
+
–
0
answers
0
votes
GATE2015-3-15
The lowest eigenvalue of the $2\times 2$ matrix $\begin{bmatrix} 4 & 2\\ 1 & 3 \end{bmatrix}$ is ________
The lowest eigenvalue of the $2\times 2$ matrix $\begin{bmatrix} 4 & 2\\ 1 & 3 \end{bmatrix}$ is ________
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Linear Algebra
gateme-2015-set3
numerical-answers
linear-algebra
matrices
eigenvalues
+
–
0
answers
0
votes
GATE2015-2-28
Consider the following differential equation: $\dfrac{dy}{dt}=-5y$; initial condition: $y=2$ at $t=0$. The value of $y$ at $t=3$ is $-5e^{-10}$ $2e^{-10}$ $2e^{-15}$ $-15e^{2}$
Consider the following differential equation:$\dfrac{dy}{dt}=-5y$; initial condition: $y=2$ at $t=0$. The value of $y$ at $t=3$ is$-5e^{-10}$$2e^{-10}$$2e^{-15}$$-15e^...
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Differential Equations
gateme-2015-set2
differential-equations
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 3
The argument of the complex number $\dfrac{1+\imath }{1-\imath }$ where $\imath =\sqrt{-1}$ ,is $-\pi \\$ $\dfrac{-\pi }{2} \\$ $\dfrac{\pi }{2} \\$ $\pi$
The argument of the complex number $\dfrac{1+\imath }{1-\imath }$ where $\imath =\sqrt{-1}$ ,is$-\pi \\$$\dfrac{-\pi }{2} \\$$\dfrac{\pi }{2} \\$ $\pi$
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Calculus
gateme-2014-set1
calculus
complex-variables
+
–
0
answers
0
votes
GATE2017 ME-1: 27
For the vector $\vec{V}=2yz\hat{i}+3xz \hat{j}+4xy \hat{k}$, the value of $\bigtriangledown$. $(\bigtriangledown \times \vec{V})$ is ________.
For the vector $\vec{V}=2yz\hat{i}+3xz \hat{j}+4xy \hat{k}$, the value of $\bigtriangledown$. $(\bigtriangledown \times \vec{V})$ is ________.
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Calculus
gateme-2017-set1
numerical-answers
calculus
vector-identities
+
–
0
answers
0
votes
GATE2016-1-4
Consider a Poisson distribution for the tossing of a biased coin. The mean for this distribution is $μ$. The standard deviation for this distribution is given by $\sqrt{\mu }$ $\mu ^2$ $\mu$ $1/\mu$
Consider a Poisson distribution for the tossing of a biased coin. The mean for this distribution is $μ$. The standard deviation for this distribution is given by$\sqrt{\...
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Probability and Statistics
gateme-2016-set1
probability-and-statistics
probability
poisson-distribution
mode-and-standard-deviation
+
–
0
answers
0
votes
GATE2018-2-35
The problem of maximizing $z=x_1-x_2$ subject to constraints $x_1+x_2 \leq 10, \: x_1 \geq 0, x_2 \geq 0$ and $x_2 \leq 5$ has no solution one solution two solutions more than two solutions
The problem of maximizing $z=x_1-x_2$ subject to constraints $x_1+x_2 \leq 10, \: x_1 \geq 0, x_2 \geq 0$ and $x_2 \leq 5$ hasno solutionone solutiontwo solutionsmore tha...
Arjun
28.7k
points
Arjun
asked
Feb 17, 2018
Numerical Methods
gateme-2018-set2
numerical-methods
linear-programming
+
–
0
answers
0
votes
GATE2018-2-2
The divergence of the vector field $\overrightarrow{u}=e^x(\cos \: y\hat{i}+\sin \: y \hat{j})$ is $0$ $e^x \cos y + e^x \sin y$ $2e^x \cos y$ $2e^x \sin y$
The divergence of the vector field $\overrightarrow{u}=e^x(\cos \: y\hat{i}+\sin \: y \hat{j})$ is$0$$e^x \cos y + e^x \sin y$$2e^x \cos y$$2e^x \sin y$
Arjun
28.7k
points
Arjun
asked
Feb 17, 2018
Calculus
gateme-2018-set2
calculus
divergence-and-curl
+
–
0
answers
0
votes
GATE2018-2-3
Consider a function $u$ which depends on position $x$ and time $t$. The partial differential equation $\frac{\partial u}{\partial t} = \frac{\partial^2 u }{\partial x^2}$ is known as the Wave equation Heat equation Laplace's equation Elasticity equation
Consider a function $u$ which depends on position $x$ and time $t$. The partial differential equation $$\frac{\partial u}{\partial t} = \frac{\partial^2 u }{\partial x^2}...
Arjun
28.7k
points
Arjun
asked
Feb 17, 2018
Differential Equations
gateme-2018-set2
differential-equations
partial-differential-equation
+
–
0
answers
0
votes
GATE2015-2-27
The surface integral $\displaystyle{} \int \int_{s}^{ }\dfrac{1}{\pi }(9xi-3yj)\cdot nds$ over the sphere given by $x^2+y^2+z^2=9$ is
The surface integral $\displaystyle{} \int \int_{s}^{ }\dfrac{1}{\pi }(9xi-3yj)\cdot nds$ over the sphere given by $x^2+y^2+z^2=9$ is
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2015-set2
numerical-answers
calculus
integrals
area-under-curve
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 4 | Question: 3
The solution of the initial value problem $\dfrac{dy}{dx}=-2xy$ ; $y(0)=2$ is $1+e^{{-x}^2}$ $2e^{{-x}^2}$ $1+e^{{x}^2}$ $2e^{{x}^2}$
The solution of the initial value problem $\dfrac{dy}{dx}=-2xy$ ; $y(0)=2$ is$1+e^{{-x}^2}$$2e^{{-x}^2}$$1+e^{{x}^2}$$2e^{{x}^2}$
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Differential Equations
gateme-2014-set4
differential-equations
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 2
$\displaystyle{} \lim_{x\rightarrow 0}\dfrac{x- \sin x}{1- \cos x}$ is $0$ $1$ $3$ not defined
$\displaystyle{} \lim_{x\rightarrow 0}\dfrac{x- \sin x}{1- \cos x}$ is$0$$1$$3$not defined
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Calculus
gateme-2014-set1
calculus
limits
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 26
An analytic function of a complex variable $z = x + i y$ is expressed as $f (z) = u(x, y) + i v(x, y)$ , where $i=\sqrt{-1}$ . If $u(x, y) = x^2 − y^2$ , then expression for $v(x, y)$ in terms of $x$, $y$ and a general constant $c$ would be $xy + c \\$ $\dfrac{x^2+y^2}{2}+c \\$ $2xy+c \\$ $\dfrac{(x-y)^2}{2}+c$
An analytic function of a complex variable $z = x + i y$ is expressed as $f (z) = u(x, y) + i v(x, y)$ , where $i=\sqrt{-1}$ . If $u(x, y) = x^2 − y^2$ , then expressi...
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Calculus
gateme-2014-set3
calculus
complex-variables
+
–
0
answers
0
votes
GATE2016-1-5
Solve the equation $x=10\cos(x)$ using the Newton-Raphson method. The initial guess is $x=\pi /4$. The value of the predicted root after the first iteration, up to second decimal, is ________
Solve the equation $x=10\cos(x)$ using the Newton-Raphson method. The initial guess is $x=\pi /4$. The value of the predicted root after the first iteration, up to second...
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Numerical Methods
gateme-2016-set1
numerical-answers
numerical-methods
newton-raphson-method
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 2 | Question: 18
If there are $m$ sources and $n$ destinations in a transportation matrix, the total number of basic variables in a basic feasible solution is $m + n$ $m + n + 1$ $m + n − 1$ $m$
If there are $m$ sources and $n$ destinations in a transportation matrix, the total number of basic variables in a basic feasible solution is$m + n$$m + n + 1$$m + n − ...
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Linear Algebra
gateme-2014-set2
linear-algebra
matrix-algebra
+
–
0
answers
0
votes
GATE2015-3-42
For a given matrix $P=\begin{bmatrix} 4+3i & -i\\ i & 4-3i \end{bmatrix}$, where $i=\sqrt{-1}$, the inverse of matrix $P$ is $P=\displaystyle{\frac{1}{24}}\begin{bmatrix} 4-3i & i\\ -i & 4+3i \end{bmatrix} \\$ ... $P=\displaystyle{\frac{1}{25}}\begin{bmatrix} 4+3i & -i\\ i & 4-3i \end{bmatrix} \\$
For a given matrix $P=\begin{bmatrix} 4+3i & -i\\ i & 4-3i \end{bmatrix}$, where $i=\sqrt{-1}$, the inverse of matrix $P$ is$P=\displaystyle{\frac{1}{24}}\begin{bmatrix} ...
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Linear Algebra
gateme-2015-set3
linear-algebra
matrices
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 2 | Question: 29
The value of $\int_{2.5}^{4} \ln(x)dx$ calculated using the Trapezoidal rule with five subintervals is _______
The value of $\int_{2.5}^{4} \ln(x)dx$ calculated using the Trapezoidal rule with five subintervals is _______
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Numerical Methods
gateme-2014-set2
numerical-methods
numerical-answers
+
–
0
answers
0
votes
GATE2017 ME-1: 5
A six-face fair dice is rolled a large number of times. The mean value of the outcomes is ________.
A six-face fair dice is rolled a large number of times. The mean value of the outcomes is ________.
Arjun
28.7k
points
Arjun
asked
Feb 26, 2017
Probability and Statistics
gateme-2017-set1
numerical-answers
probability-and-statistics
probability
+
–
0
answers
0
votes
GATE2015-3-13
Using a unit step size, the value of integral $\int_{1}^{2}x \ln x dx$ by trapezoidal rule is ________
Using a unit step size, the value of integral $\int_{1}^{2}x \ln x dx$ by trapezoidal rule is ________
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Numerical Methods
gateme-2015-set3
numerical-answers
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 2
If a function is continuous at a point, the limit of the function may not exist at the point the function must be derivable at the point the limit of the function at the point tends to infinity the limit must exist at the point and the value of limit should be same as the value of the function at that point
If a function is continuous at a point,the limit of the function may not exist at the pointthe function must be derivable at the pointthe limit of the function at the poi...
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Calculus
gateme-2014-set3
calculus
limits
+
–
0
answers
0
votes
GATE2020-ME-1: 35
Consider two exponentially distributed random variables $\text{X and Y}$, both having a mean of $0.50$. Let $Z=X+Y$ and $r$ be the correlation between $\text{X and Y}$.If the variance of $Z$ equals $0$, then the value of $r$ is __________ (roundoff to $2$ decimal places).
Consider two exponentially distributed random variables $\text{X and Y}$, both having a mean of $0.50$. Let $Z=X+Y$ and $r$ be the correlation between $\text{X and Y}$.If...
go_editor
5.0k
points
go_editor
asked
Feb 19, 2020
Engineering Mathematics
gateme-2020-set1
numerical-answers
engineering-mathematics
differential-equation
random-variables
+
–
0
answers
0
votes
GATE2016-1-53
The figure below represents a triangle $PQR$ with initial coordinates of the vertices as $P(1,3)$, $Q(4,5)$ and $R(5,3.5)$. The triangle is rotated in the $X$-$Y$ plane about the vertex $P$ by angle $\theta$ in clockwise direction. If sin$\theta$ = $0.6$ and cos$\theta$ = $0.8$, the new coordinates of the vertex $Q$ are $(4.6, 2.8)$ $(3.2, 4.6)$ $(7.9, 5.5)$ $(5.5, 7.9)$
The figure below represents a triangle $PQR$ with initial coordinates of the vertices as $P(1,3)$, $Q(4,5)$ and $R(5,3.5)$. The triangle is rotated in the $X$-$Y$ plane a...
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2016-set1
calculus
vector-identities
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 2 | Question: 26
An analytic function of a complex variable $z=x+iy$ is expressed as $f(z)=u(x,y)+iv(x,y)$ , where $i=\sqrt{-1}$ If $u(x,y)=2xy$, then $v(x,y)$ must be $x^2$+$y^2$+constant $x^2$-$y^2$+constant -$x^2$+$y^2$+constant -$x^2$-$y^2$+constant
An analytic function of a complex variable $z=x+iy$ is expressed as $f(z)=u(x,y)+iv(x,y)$ , where $i=\sqrt{-1}$ If $u(x,y)=2xy$, then $v(x,y)$ must be$x^2$+$y^2$+constant...
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Calculus
gateme-2014-set2
calculus
complex-variables
+
–
0
answers
0
votes
GATE2016-2-5
Numerical integration using trapezoidal rule gives the best result for a single variable function, which is linear parabolic logarithmic hyperbolic
Numerical integration using trapezoidal rule gives the best result for a single variable function, which islinearparaboliclogarithmichyperbolic
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Numerical Methods
gateme-2016-set2
numerical-methods
+
–
0
answers
0
votes
GATE2015-2-3
Curl of vector $V(x,y,z)=2x^2i+3z^2j+y^3k$ at $x=y=z=1$ is $-3i$ $3i$ $3i-4j$ $3i-6k$
Curl of vector $V(x,y,z)=2x^2i+3z^2j+y^3k$ at $x=y=z=1$ is$-3i$$3i$$3i-4j$$3i-6k$
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2015-set2
calculus
divergence-and-curl
+
–
0
answers
0
votes
GATE2016-3-1
A real square matrix $\textbf{A}$ is called skew-symmetric if $A^T=A$ $A^T=A^{-1}$ $A^T=-A$ $A^T=A+A^{-1}$
A real square matrix $\textbf{A}$ is called skew-symmetric if$A^T=A$$A^T=A^{-1}$$A^T=-A$$A^T=A+A^{-1}$
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Linear Algebra
gateme-2016-set3
linear-algebra
matrices
+
–
0
answers
0
votes
GATE2016-1-27
If $y=f(x)$ satisfies the boundary value problem ${y}''+9y=0$ , $y(0)=0$ , $y(\pi /2)=\sqrt{2}$, then $y(\pi /4)$ is ________
If $y=f(x)$ satisfies the boundary value problem ${y}''+9y=0$ , $y(0)=0$ , $y(\pi /2)=\sqrt{2}$, then $y(\pi /4)$ is ________
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2016-set1
numerical-answers
calculus
boundary-value-problems
+
–
0
answers
0
votes
GATE2016-3-3
Solutions of Laplace’s equation having continuous second-order partial derivatives are called biharmonic functions harmonic functions conjugate harmonic functions error functions
Solutions of Laplace’s equation having continuous second-order partial derivatives are calledbiharmonic functionsharmonic functionsconjugate harmonic functionserror fun...
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Differential Equations
gateme-2016-set3
differential-equations
laplace-transforms
+
–
0
answers
0
votes
#GATE QUESTION BANK
The minimum number of equal length subintervals needed to approximate $\int_{1}^{2}xe^xdx$ to an accuracy of atleast (10^(-6))/3 using trapezoidal rule is __________.
The minimum number of equal length subintervals needed to approximate $\int_{1}^{2}xe^xdx$ to an accuracy of atleast (10^(-6))/3 using trapezoidal rule is __________.
Gokulan K
160
points
Gokulan K
asked
Jul 15, 2020
Numerical Methods
#gate-question-bank
+
–
0
answers
0
votes
GATE2016-2-3
Laplace transform of $\cos( \omega t)$ is $\dfrac{s}{s^2+\omega ^2} \\$ $\dfrac{\omega }{s^2+\omega ^2} \\$ $\dfrac{s}{s^2-\omega ^2} \\$ $\dfrac{\omega }{s^2-\omega ^2}$
Laplace transform of $\cos( \omega t)$ is$\dfrac{s}{s^2+\omega ^2} \\$$\dfrac{\omega }{s^2+\omega ^2} \\$$\dfrac{s}{s^2-\omega ^2} \\$$\dfrac{\omega }{s^2-\omega ^2}$
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Differential Equations
gateme-2016-set2
differential-equations
laplace-transforms
+
–
0
answers
0
votes
GATE2015-2-26
The chance of a student passing an exam is $20 \%$. The chance of a student passing the exam and getting above $90 \%$ marks in it is $5 \%$. GIVEN that a student passes the examination, the probability that the student gets above $90 \%$ marks is $\dfrac{1}{18} \\ $ $\dfrac{1}{4} \\$ $\dfrac{2}{9} \\$ $\dfrac{5}{18}$
The chance of a student passing an exam is $20 \%$. The chance of a student passing the exam and getting above $90 \%$ marks in it is $5 \%$. GIVEN that a student passes ...
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Probability and Statistics
gateme-2015-set2
probability-and-statistics
probability
+
–
0
answers
0
votes
GATE2015-2-1
At least one eigenvalue of a singular matrix is positive zero negative imaginary
At least one eigenvalue of a singular matrix ispositivezeronegativeimaginary
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Linear Algebra
gateme-2015-set2
linear-algebra
matrices
eigen-values
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 29
The real root of the equation $5x − 2 \cos x −1 = 0$ (up to two decimal accuracy) is _______
The real root of the equation $5x − 2 \cos x −1 = 0$ (up to two decimal accuracy) is _______
Arjun
28.7k
points
Arjun
asked
Feb 19, 2017
Calculus
gateme-2014-set3
numerical-answers
calculus
functions
+
–
0
answers
0
votes
GATE2016-3-53
A point P $(1, 3,−5)$ is translated by $2\hat{i}+3\hat{j}-4\hat{k}$ and then rotated counter clockwise by $90^\circ $ about the $z$-axis. The new position of the point is $(−6, 3,−9)$ $(−6,−3,−9)$ $(6, 3,−9)$ $(6, 3, 9)$
A point P $(1, 3,−5)$ is translated by $2\hat{i}+3\hat{j}-4\hat{k}$ and then rotated counter clockwise by $90^\circ $ about the $z$-axis. The new position of the point...
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2016-set3
calculus
vector-identities
+
–
0
answers
0
votes
GATE2016-1-55
Maximize $Z = 15X_1 + 20X_2$ subject to $\begin{array}{l} 12X_1 + 4X_2 \geq 36 \\ 12X_1 − 6X_2 \leq 24 \\ X_1, X_2 \geq 0 \end{array}$ The above linear programming problem has infeasible solution unbounded solution alternative optimum solutions degenerate solution
Maximize $Z = 15X_1 + 20X_2$ subject to $$\begin{array}{l} 12X_1 + 4X_2 \geq 36 \\ 12X_1 − 6X_2 \leq 24 \\ X_1, X_2 \geq 0 \end{array}$$The above linear programming pr...
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Numerical Methods
gateme-2016-set1
numerical-methods
linear-programming
+
–
0
answers
0
votes
GATE2015-3-43
Newton-Raphson method is used to find the roots of the equation, $x^3+3x^2+3x-1=0$. If the initial guess is $x_0=1$, then the value of $x$ after $2^{nd}$ iteration is ________
Newton-Raphson method is used to find the roots of the equation, $x^3+3x^2+3x-1=0$. If the initial guess is $x_0=1$, then the value of $x$ after $2^{nd}$ iteration is ___...
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Numerical Methods
gateme-2015-set3
numerical-answers
numerical-methods
newton-raphson-method
+
–
0
answers
0
votes
GATE2016-1-26
Consider the function $f(x)=2x^3-3x^2$ in the domain $[-1,2]$ The global minimum of $f(x)$ is ____________
Consider the function $f(x)=2x^3-3x^2$ in the domain $[-1,2]$ The global minimum of $f(x)$ is ____________
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Calculus
gateme-2016-set1
numerical-answers
calculus
maxima-minima
+
–
0
answers
0
votes
GATE2015-2-29
The values of function $f(x)$ at $5$ discrete points are given below: $\begin{array}{|l|l|l|l|l|l|} \hline x & 0& 0.1 & 0.2 & 0.3 & 0.4 \\ \hline f(x) & 0 & 10 & 40& 90 & 160 \\ \hline \end{array}$ Using Trapezoidal rule with step size of $0.1$, the value of $\int_{0}^{0.4}f(x)dx$ is __________
The values of function $f(x)$ at $5$ discrete points are given below:$$\begin{array}{|l|l|l|l|l|l|} \hline x & 0& 0.1 & 0.2 & 0.3 & 0.4 \\ \hline f(x) & 0 & 10 & 40& 90 ...
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Numerical Methods
gateme-2015-set2
numerical-answers
integration-by-trapezoidal-and-simpsons-rule
numerical-methods
+
–
0
answers
0
votes
GATE2016-1-2
If $f(t)$ is a function defined for all $t \geq 0$, its Laplace transform $F(s)$ is defined as $\int_{0}^{\infty }e^{st}f(t)dt \\$ $\int_{0}^{\infty }e^{-st}f(t)dt \\$ $\int_{0}^{\infty }e^{ist}f(t)dt \\$ $\int_{0}^{\infty }e^{-ist}f(t)dt$
If $f(t)$ is a function defined for all $t \geq 0$, its Laplace transform $F(s)$ is defined as$\int_{0}^{\infty }e^{st}f(t)dt \\$$\int_{0}^{\infty }e^{-st}f(t)dt \\$$\int...
Arjun
28.7k
points
Arjun
asked
Feb 24, 2017
Differential Equations
gateme-2016-set1
differential-equations
laplace-transforms
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