5. Given (1 + x²)y" + 2xy' + 4x²y = 0. Without solving the ODE, determine the lower bound for the radius of convergence of the series solution at the center (a) xo = (b) x₁ = -1/1. = 0;

Find the first three nonzero terms, or as many as exist, in the series expansion about x= 0 for a general solution to the given equation for x>0. ху" + (1- х)у' - у %3D0 The equation has a general solution in the form C, y, (x) + cay2(x) where y, (x) is obtained from the root of the associated indicial equation with the largest real value. If the second solution has term with y, (x), then count that term as only one term. y1(X) =+ .. and y2(x) =+ ..

Write the Correct solution and share the clear photo of the answers and do only b and c please thanks in advance