# Partial Differential Equations : Initial & Boundary Value Problems

## Example Questions

### Example Question #1 : Initial & Boundary Value Problems

Solve the Boundary Value Problem (BVP).

Explanation:

To solve this Boundary Value Problem (BVP) recall that the general solution for this type of derivative is,

Therefore, the equation becomes

From here, apply the boundary conditions to solve for the constants  and

Thus resulting in the solution,

### Example Question #2 : Initial & Boundary Value Problems

Solve the Boundary Value Problem (BVP).

Explanation:

To solve this Boundary Value Problem (BVP) recall that the general solution for this type of derivative is,

Therefore, the equation becomes

From here, apply the boundary conditions to solve for the constants  and

Thus resulting in the solution,