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:
Obviously this is not a solution so I try the only other thing I know to try.
This isnt going to work either and now Im out of ideas. Any help is greatly appreciated.