The general solution of the homogeneous differential equation 4x'y" + 9xy' + y = 0 can be written as -1 Yc = ax+ bx¯4 where a, b are arbitrary constants and Yp = 2+ 5x is a particular solution of the nonhomogeneous equation 4x'y" + 9xy' + y = 50x + 2 By superposition, the general solution of the equation 4x'y" + 9xy' + y = 50x + 2 is y = Yc + Yp So y = NOTE: you must use a, b for the arbitrary constants. Find the solution satisfying the initial conditions y(1) = 8, y'(1) = 8 y = The fundamental theorem for linear IVPS shows that this solution is the unique solution to the IVP on the interval The Wronskian W of the fundamental set of solutions Y1 = x-1 and y2 = x-1/4 for the homogeneous equation is W