# Quick Undetermined Coefficients Question

• Apr 6th 2009, 12:45 PM
BlazingFire
Quick Undetermined Coefficients Question
Right now, the equation I'm working on is $y''(t) - y(t) = t \mbox{sin}(t)$. Which form should I use for the particular solution? My guess is that the correct form should be $y_p(t) = (At + B)\mbox{sin}(t) + (Ct + D)\mbox{cos}(t)$. Is that the proper form or is it something else?
• Apr 6th 2009, 03:21 PM
Jester
Quote:

Originally Posted by BlazingFire
Right now, the equation I'm working on is $y''(t) - y(t) = t \mbox{sin}(t)$. Which form should I use for the particular solution? My guess is that the correct form should be $y_p(t) = (At + B)\mbox{sin}(t) + (Ct + D)\mbox{cos}(t)$. Is that the proper form or is it something else?

Yes - it's the proper form.