3. Given the second-order, linear, homogeneous differential equation y" + 16y and the functions Y1(x) cos(4.r) = sin(4.x) Y2(x) (a) Verify that yı(x) and y2(x) are solutions to the given differential...

I can do part a, but stuck on how to do b,c, and d.

Extracted text: 3. Given the second-order, linear, homogeneous differential equation y" + 16y and the functions Y1(x) cos(4.r) = sin(4.x) Y2(x) (a) Verify that yı(x) and y2(x) are solutions to the given differential equation. (b) Verify that Yı(x) and y2(x) are linearly independent using the Wronskian. (c) yı (x) and y2(x) form a fundamental set of solutions to the linear, homogeneous differential equation. Find the general solution. (d) Let y(0) =1 and y'(0) = -2. Find the solution to the initial-value problem.