Verify that x0=0 is an ordinary point of the differential equation:
y''+ xy' + 2y = 0
Find two linearly independent solutions to the differential equation in the form of a power series about x0=0. If possible, find the general term in each solution. Write the general solution
Verify that x0=0 is an ordinary point for the differential equation:
Find the first four terms of the power series of two linearly independent solutions. Estimate the lower bound for the radius of convergence of the two solutions.