Introductions to PDEs

Practice Questions

Partial Differential Equations › Introductions to PDEs

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1

What is the order of the following partial differential equation.

$u_{xx}+2u_{xy}+\frac{7}{5}u_{yy}=10y$

2

Determine if the statement is true or false:

The wave equation has at most one solution.

3

Solve the Boundary Value Problem (BVP).

$\y'+16y=0 \y(0)=-4 \\y\left(\frac{\pi}{2} \right )=5$

4

What is the order of the following partial differential equation.

$u_{xx}+2u_{xy}+\frac{7}{5}u_{yy}=10y$

5

Determine if the statement is true or false:

The wave equation has at most one solution.

6

Solve the Boundary Value Problem (BVP).

$\y'+16y=0 \y(0)=-4 \\y\left(\frac{\pi}{2} \right )=5$

7

Solve the Boundary Value Problem (BVP).

$\y'+9y=0 \y(0)=-7 \\y\left(\frac{\pi}{2} \right )=2$

8

Solve the Boundary Value Problem (BVP).

$\y'+9y=0 \y(0)=-7 \\y\left(\frac{\pi}{2} \right )=2$

9

What is the conservation law written as a partial differential equation?

10

What is the conservation law written as a partial differential equation?

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