How can I solve the second order ODE \sqrt(y)(1 + cy'') = x(x^2-1) with boundary conditions y(1) = y(-1) = 0?

Consider the boundary value problem \sqrt(y)(1 + cy'') = x(x^2-1) with boundary conditions y(1) = y(-1) = 0. Here y = y(x), the primes denote derivatives with respect to x, and c is a positive...

26 March 2014 4,159 6 View