Hello,

I am currently working on solving nonhomogeneous differential equations using the method of undetermined coefficients. Im doing well solving problems, but I have come across one that has puzzled me, possibly due to its simplicity.

The initial value problem is:

I have found the complementary general solution,

but before I can solve for the constants, I must account for the nonhomogeneous term.

I make my first assumption that the term is of the form:

therefore

Obviously this is not a solution so I try the only other thing I know to try.

so

This isnt going to work either and now Im out of ideas. Any help is greatly appreciated.