Section 4.3 Question5

[Jiayi Wang (Ivy)]

For this question, I got the homogeneous solution: y(t)=c1+tc2+e^(2t)c3+e^(-2t)c4 ;
Then I set the particular solution as Yp(t)=t^2(at^2+bt+c)+de^t;
I am not sure the part t^2(at^2+bt+c) is correct or not. Can someone please help? Thanks!

[Meiyi Wu]

hi, I set a similar particular solution. Here is my answer. And, I would like to check my solution. Thank you!