The function y=c1 cos 5x + c2 sin 5x is a two-parameter

Last updated: 7/17/2022

The function y=c1 cos 5x + c2 sin 5x is a two-parameter family of solutions of the second-order differential equation y" + 25y = 0. Find the values of c1 and c2 so that the solution satisfies the following boundary conditions. y(π) = 2, y(π/6) = 2.