[Solved] MA3475 Homework 2

Extra problems for practice. No need to turn in. May involve hyperbolic functions.b1. J[y] =y(x)2 + y(x)y(x) + (y(x))2 dx.ab2. J[y] =(1 + x)(y(x))2 dx.a3. Let p(x),q(x) be positive continuous functions defined on [a,b]. Let

where y(x) C2[a,b], y(a) = A,y(b) = B. Describe the Euler-Lagrange equation for this functional.