# Math Help - Quick Undetermined Coefficients Question

1. ## 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?

2. 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.