For the equation : I have split up the particular solution into two parts, so that I have
and
which gives me
and
The solution of the corresponding homogeneous equation is of course . So for my answer I get
Where did I go wrong?
For the equation : I have split up the particular solution into two parts, so that I have
and
which gives me
and
The solution of the corresponding homogeneous equation is of course . So for my answer I get
Where did I go wrong?
I did have , but I forgot how I got it, so I changed it (that's why I edited my post).
I see what I did there. I included the 3 in the initial guess so that it looked like
instead of
I never really learned about equating coefficients. I briefly used it in calculus for partial fraction decomposition, that's it.