Consider the following. Differential Equation Solutions y" + 16y = 0 {sin 4X, cos 4x} (a) Verify that each solution satises the differential equation. y = sin 4x y: y" + my = y = cos 4x y\" + 16y (h) Test the set of solutions for linear independence. 0 linearly independent 0 linearly dependent (c) If the set is linearly independent, then write the general solution of the differential equation' {If the system is dependent, enter DEPENDENT. Use C1 and C2 for any needed constants.) y