1. The problem statement, all variables and given/known data Transform the given initial value problem into an initial value problem for the first two first order equations. u'' + .25u' + 4u = 2cos(3t), u(0)=1, u'(0)=-2 2. Relevant equations Nothing, really. 3. The attempt at a solution x1=u , x2=u' => x2' = -.25x2 -4x1 + 2cos(3t); x1'=x2 There's the system. I don't understand the initial value part, though; and my professor didn't do any examples. I know x1 and x2 are functions of t, so the second equation is saying that the derivative of x1 is x2, and x1'(0)=x2(0)=-2; x1(0)=1. Where do I go from here?