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

Question

5y'-6e^(3x)y=0; y(0)=4

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

Answer 1

y = f(x) = 4 + (24/5)x + (504/25)(x²/2!) + (12,744/125)(x³/3!) ......

y = 4 + (24/5)x + (252/25)x² + (2124/125)x³.....