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Recent questions tagged partial-differential-equation
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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
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Arjun
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Feb 17, 2018
Differential Equations
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GATE2017 ME-1: 3
Consider the following partial differential equation for $u(x, y)$, with the constant $c > 1$: $\dfrac{\partial u}{\partial y}+c\dfrac{\partial u}{\partial x}=0$ Solution of this equation is $u(x, y) = f (x+cy)$ $u(x, y) = f (x-cy)$ $u(x, y) = f (cx+y)$ $u(x, y) = f (cx-y)$
Consider the following partial differential equation for $u(x, y)$, with the constant $c 1$:$\dfrac{\partial u}{\partial y}+c\dfrac{\partial u}{\partial x}=0$Solution of...
Arjun
28.5k
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Arjun
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Feb 26, 2017
Differential Equations
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differential-equations
partial-differential-equation
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GATE ME 2013 | Question: 1
The partial differential equation $\dfrac{\partial u }{\partial t}+u\dfrac{\partial u}{\partial x}=\dfrac{\partial^2 u}{\partial x^2}$ is a linear equation of order $2$ non-linear equation of order $1$ linear equation of order $1$ non-linear equation of order $2$
The partial differential equation $\dfrac{\partial u }{\partial t}+u\dfrac{\partial u}{\partial x}=\dfrac{\partial^2 u}{\partial x^2}$ is alinear equation of order $2$no...
piyag476
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piyag476
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Feb 19, 2017
Differential Equations
gateme-2013
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