In this problem you will use undetermined coefficients to solve the nonhomogeneous equation y" - 4y' + Ay = 18te^2t + 6e^2t + 12 - 4t with initial values y(0) = 1 and y'(0) = -2. Write the characteristic equation for the associated homogeneous equation. (User for your variable.) Write the fundamental solutions for the associated homogeneous equation. y_1 = y_2 = Write the form of the particular solution and its derivatives. (Use A, B, C, etc. for undetermined coefficients. Y = Y' = Y" = Write the general solution. (Use c1 and c2 for c_1 and c_2). y = Plug in the initial values and solve for c_1 and c_2 to find the solution to the initial value problem. y =