Find the first four nonzero terms in a power series expansion of the solution to the given initial value problem

Question

4y''-4e(4x)y'+2(cosx)y=0; y(0)=-1, y'(0)=1

( Type an expression that includes all terms up to order 3)

Answer 1

if y = f(x) = f(0) + f'(o)x + f"(0)x²/2! + f'''(0)x³/3!

Then y = f(x) = -1 + x + (1.5/2!)x² + (5/3!)x³