Final Exam-Jiarong Li 6. Find the first four nonzero terms in a power series expansion about x = 0 for a general solution to the given differential equation. (x2 + 5) y"+ y= 0 y (x) = + ... (Type an expression in terms of a, and a, that includes all terms up to order 3.) 7. Find the first four nonzero terms in a power series expansion about x = 0 for the solution to the given initial value problem. y" + (x - 3 )y' -y= 0; y(0) = - 3, y'(0) =0 y (x) = + ... (Type an expression that includes all terms up to order 4.) 8. Use a substitution of the form y = (x - c)' to find a general solution to the given equation for x > c. 2 ( x - 4 ) y" (x) + 3(x - 4)y' (x) - y( x ) = 0 y(x) = (Type an exact answer, using radicals as needed.)