Use Frobenius method to find the general form When r r = N, where N is a natural number, there might be a logarithmic term in the second solution. y (x)= : n=0 n(x xo)+ (r is the greater root!), and y(x) = Cy (x) ln(x xo) + -o bn (x xo)+r = 1) xy" + (2x-3x)y' + 3y = 0.