[Solved] MA3475 Homework 4

1. Find the extremals of the functional

   

2. Find the extremals of the functional

   

3. Find the extremals of the functional

   

subject to the boundary conditions y(0) = 0,y⁰(0) = 1,y(1) = 1,y⁰(1) = 1.

4. (4 points) Find the extremals of the functional

   

subject to the boundary conditions