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GATE2019 ME2: 3
The differential equation $\frac{dy}{dx}+4y=5$ is valid in the domain $0 \leq x \leq 1$ with $y(0)=2.25$. The solution of the differential equation is $y=e^{4x}+5$ $y=e^{4x}+1.25$ $y=e^{4x}+5$ $y=e^{4x}+1.25$
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Feb 9
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Differential Equations
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GATE2018236
Given the ordinary differential equation $\frac{d^2y}{dx^2}+\frac{dy}{dx}6y=0$ with $y(0)=0$ and $\frac{dy}{dx}(0)=1$, the value of $y(1)$ is _____ (correct to two decimal places).
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Feb 17, 2018
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Differential Equations
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gate2018me2
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GATE201824
If $y$ is the solution of the differential equation $y^3 \frac{dy}{dx}+x^3 = 0, \: y(0)=1,$ the value of $y(1)$ is 2 1 0 1
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Feb 17, 2018
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Differential Equations
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GATE201823
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
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Feb 17, 2018
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Differential Equations
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Arjun
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gate2018me2
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GATE2017 ME2: 27
Consider the differential equation $3y" (x)+27 y (x)=0$ with initial conditions $y(0)=0$ and $y'(0)=2000$. The value of $y$ at $x=1$ is ________.
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Feb 27, 2017
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Differential Equations
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Arjun
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gate2017me2
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GATE20131
The partial differential equation $\frac{\partial u }{\partial t}+u\frac{\partial u}{\partial x}=\frac{\partial^2 u}{\partial x^2}$ is a linear equation of order $2$ nonlinear equation of order $1$ linear equation of order $1$ nonlinear equation of order $2$
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Feb 19, 2017
in
Differential Equations
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piyag476
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gate2013me
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