SOLVED: Picard's Method of Successive Approximations. Consider the following initial value problem=xwhere y(0) =-1Use Picard's Method of Successive Approximations to find the first three approximations y1, Y2, Y3 to the solution of the IVP above: (b) Compute the nth approximation yn (c).c) Solve the IVP using the method for solving first order linear equations. Does the approximation Yn converge to your solution? What is the nth error term lyn (x) y(z)?