# Integral Equations

### From Exampleproblems

solution Solve

solution Solve

solution Formulate an integral equation from the BVP:

solution Solve

solution Approximate

solution Find lambda: if

solution Find lambda: if

solution Find lambda:

solution Write as an ODE:

solution Solve

solution Formulate an integral equation from the IVP:

solution Solve

solution Solve

solution Find the Euler equation

solution Reduce to a PDE:

solution Transform the BVP to an integral equation: .

solution Find the value of lambda for which the homogeneous Fredholm integral equation has a nontrivial solution, and find all the solutions.

solution Determine all values of the constants for which the integral equation has solutions.

solution Solve:

solution Solve:

solution Solve:

solution Convert to an integral equation: