Has to be done with method of undetermined coefficients
The Attempt at a Solution
the chacteristic equation is: c1*e^(3t) + c2*e^(-t)
my attempt at Yp is (a*t+b)*e^(-t)... so ya thats not it. i tried many versions and i keep on getting a = 3t/4.
the book has the answer as y=c1*e^(3t) + c2*e^(-t)+(3/16)*t*e^(-t)+(3/8)*t^2*e^(-t)