Problems

1. Determine the Constant (correct to two places) such that the problem

   

   

   has a solution satisfying

2. Solve the boundary value problem

   

   

   using second and forth order difference methods with .

3. Solve the boundary value problem

   

   

   using a second order difference method with . Solve we nonlinear difference equation by Newton's method, using an initial approximation as the solution of the given problem after omitting the term .