(1 point) In this exercise you will solve the initial value problem 11z y" - 22y + 121y e ' 1+x² (0)=5, '(0) 8. = (1) Let C₁land C₂ be arbitrary constants. The general solution to the related homogeneous differential equation " - 22y+121y0 is the function () - C₁ y₁(x) + C2 y2(x) = C₁| +C₂l NOTE: The order in which you enter the answers is important; that is, C₁f(x) + C2g(x) C19(x) + C₂f(x), (2) The particular solution yp(x) to the differential equation y" + 22y+121y- €-11 1+2 is of the form y(x)=41(x) u₁(x) + y2(x) u(x) where u(x)=|| and u(x)= = IS (3) The most general solution to the non-homogeneous differential equation y" - 22y' + 121y= Y H Л dt +| dtl