Question 1
Solve the initial-value problem y" + 3xy' + 3y = 0, y(0) = 1, y'(0) = 0 as a power series in powers of x.Question 2
The differential equation 2y" + xy' + y = 0 has a power series solution for some constant real numbers A and B and C. Find C.Answer 1
y = x2nAnswer 2
C = - (1/20)