GO Mechanical
Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Questions
Tags
Users
Ask
New Blog
Blogs
Exams
Dark Mode
Recent questions tagged initial-and-boundary-value-problems
0
answers
0
votes
GATE2017 ME-1: 4
The differential equation $\dfrac{d^{2}y}{dx^{2}}+16y=0$ for $y(x)$ with the two boundary conditions $\dfrac{dy}{dx}\bigg \vert _{x=0}=1$ and $\dfrac{dy}{dx}\bigg \vert_{x=\displaystyle \frac{\pi}{2}}=-1$ has. No solution. Exactly two solutions. Exactly one solution. Infinitely many solutions.
Arjun
asked
in
Differential Equations
Feb 27, 2017
by
Arjun
27.4k
points
gateme-2017-set1
differential-equations
initial-and-boundary-value-problems
0
answers
0
votes
GATE2016-3-27
The value of the line integral $\oint_{c}^{ }\overline{F}.{\overline{r}}'ds$ ,where $C$ is a circle of radius $\dfrac{4}{\sqrt{\pi }}$ units is ________ Here, $\overline{F}(x,y)=y\hat{i}+2x\hat{j}$ and ${\overline{r}}'$ is ... $x-y$ Cartesian reference. In evaluating the line integral, the curve has to be traversed in the counter-clockwise direction.
Arjun
asked
in
Calculus
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2016-set3
numerical-answers
calculus
vector-identities
initial-and-boundary-value-problems
0
answers
0
votes
GATE2016-2-27
The value of $\oint_{\Gamma }^{ }\dfrac{3z-5}{(z-1)(z-2)}dz$ along a closed path $\Gamma$ is equal to $(4\pi i)$ , where $z=x+iy$ and $i=\sqrt{-1}$. The correct path $\Gamma$ is
Arjun
asked
in
Calculus
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2016-set2
calculus
initial-and-boundary-value-problems
0
answers
0
votes
GATE2015-3-41
The value of $\int_{C}^{ }[(3x-8y^2)dx+(4y-6xy)dy]$, (where $C$ is the boundary of the region bounded by $x$ = $0$, $y$ = $0$ and $x+y$ = $1$) is ________
Arjun
asked
in
Calculus
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set3
numerical-answers
calculus
initial-and-boundary-value-problems
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 27
If $y = f(x)$ is the solution of $\dfrac{d^2y}{dx^2}=0$ with the boundary conditions y = $5$ at $x = 0$ and $\dfrac{dy}{dx}=2$ at $x = 10$, $f(15) =$ _____________ .
Arjun
asked
in
Calculus
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set1
numerical-answers
calculus
initial-and-boundary-value-problems
0
answers
0
votes
GATE ME 2013 | Question: 46
The solution to the differential equation $\dfrac{d^2u}{dx^2}-k\dfrac{du}{dx}=0$ where $k$ is a constant, subjected to the boundary conditions $u(0)$ = $0$ and $u(L)$ = $U$, is $u=U\dfrac{x}{L} $ $u=U\left(\dfrac{1-e^{kx}}{1-e^{kL}}\right) $ $u=U\left(\dfrac{1-e^{-kx}}{1-e^{-kL}}\right)$ $u=U\left(\dfrac{1+e^{kx}}{1+e^{kL}}\right)$
piyag476
asked
in
Differential Equations
Feb 19, 2017
by
piyag476
1.4k
points
gateme-2013
differential-equations
initial-and-boundary-value-problems
To see more, click for the
full list of questions
or
popular tags
.
Welcome to GO Mechanical, where you can ask questions and receive answers from other members of the community.
Recent Posts
GATE Mechanical Engineering Syllabus for GATE 2022 (Updated 2020)
ISRO Questions Papers for Mechanical
ISRO Mechanical and RAC Previous Year Papers
How to Apply to Colleges after GATE
GATE Mechanical Syllabus
Top Users
Aug 2022