The partial differential equation - u- t-u- u- x- 2u- x2 is a

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Order and Degree

The partial d...

Question

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

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Non-linear equation of order

1

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Linear equation of order

1

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Non-linear equation of order

2

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Solution

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Similar questions

\frac{\partial u}{\partial t} = α \frac{\partial^{2} u}{\partial x^{2}}

x = 1, t = 1

\frac{\partial^{2} u}{\partial x^{2}} = 25 \frac{\partial^{2} u}{\partial t^{2}}

u (0) = 3 x

\frac{\partial u}{\partial t} (0) = 3

x

t

\frac{\partial u}{\partial t} = \frac{\partial^{2} u}{\partial x^{2}}

\frac{\partial^{2} u}{\partial t^{2}} - C^{2} (\frac{\partial^{2} u}{\partial x^{2}} + \frac{\partial^{2} u}{\partial y^{2}}) = 0

\neq

I

u = \frac{x^{2} y^{2}}{x + y}

⎛ ⎜ ⎜ ⎜ ⎜ ⎝ \frac{x \frac{\partial^{2} u}{\partial x^{2}} + y \frac{\partial^{2} u}{\partial x \partial y}}{\frac{\partial u}{\partial x}} ⎞ ⎟ ⎟ ⎟ ⎟ ⎠

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