Multiply both sides by
Therefore,
Then and so then . Then so . Then . Thus, .
Note that . Then . Then i.e. . Then . This implies that and .
Thus, and .
Thus,
Now, apply direct u-substitute on each summand.
the solution technique is easy but I'm exhausted and having surgery...by the way what is the partial fraction expansion for this differential equation? thanks very much!
thanks very much! so when you do the partial fraction expansion the 2nd term has 4 terms in the numerator because it is t^4? is it more correct to express it in this form with a constant added to the integral? sometimes the coefficient system can also be represented by a matrix and solved by Gaussian elimination