Q7)By making the change of variable x 1 = t and assuming that y has a power series for t, find two linearly independent series solutions of y" + (x 1)2y' + (x2 1)y = 0 in powers of (x - 1) and also expressing the coefficient x2 1 in powers of (x - 1). Q7)By making the change of variable x 1 = t and assuming that y has a power series for t, find two linearly independent series solutions of y" + (x 1)2y' + (x2 1)y = 0 in powers of (x - 1) and also expressing the coefficient x2 1 in powers of (x - 1)