Hi, I'm trying to solve
y''' - 2sin(t)y'' - yy' - y = 2cos(t) where y(0)=0, y'(0) = 1, y''(0) = 2 on 0<=t<=1 using the Runge Kutta method in Matlab, but I'm having a really hard time. I have the scheme to solve an equation like y(-2t + 1/t), but I'm not sure what to do for the higher order system. My textbook talks about it breifly, saying something about breaking it down into separate equations, but I'm lost. Please help!