Find a particular solution to the ODE below using undetermined coefficients. Use t as the independent variable.
y + y' - 2y = -20t - 8
yt = 10t + 9
Next, find the general solution to the ODE below. Use c and d as arbitrary constants.
yt = 6t^2 + t - 5
Last, find the solution that satisfies the following initial conditions: y(0) = 11, y'(0) = 3.
yt = 3