I'm struggling to workout these problems. Could you explain them step by step, including the basics? Thank you so much!

Solve this problem by educated guessing. Suppose f is the function that satisifes f" (2) = -f(2) for all a in its domain, f(0) = 0, and f'(0) = 1. Then f(2) =The functions are all solutions of equation: my' + 2y : 43:2, (.7: > 0). Find the constant c which produces a solution which also satisfies the initial condition y(6) = 4. c=l l