Please helppp. Thank you

Consider the following differential equation: (1 + x2) dy dx + xy = 0, and the initial condition y(0) = 1. This equation is separable, but there are other techniques we can use to solve it as well. For example, we can try a series solution: y = > and" . n=0 Here the unknown coefficients a, of the power series are to be determined using the differential equation and the initial condition. 1. Use a power series solution to give the general solution of the differential equation above. Give a recursive formula for the coefficients an. Apply the boundary condition to find the solution such that y(0) = 1, and explicitly write out the first five non-zero terms of this series solution