20) Consider the equation x2y"+2xy'+2y=x³ y(1)=0;y'(3) = 3 -/ =) Find a Green's function for the BVP Construct an integral for the particular solution y, (which is the solution y to the boundary value problem BVP). Evaluate to solve for y (Bonus 5 points) 15) Find the Green function for the differential equation and write the integral solution For the BVP. Solve it. (15) y"-4y+4y-ey(0) = 1, y'(0) = 0 Solve the system of Des, by elimination: (D+1)x+(D-2)y = 5/2 2x + (D-1)y=-2, x(0) = 1; y(0) = 2 (15) Find the first 5 terms of the power series solution for the DE y"-y+2y', y(0) = 1 and y'(0) = 1 Can we solve it by an analytical method?