We are supposed to write a program to solve the following initial value problem numerically using 4th order Runge-Kutta. That algorithm isn't a problem and I can post my solution when I finish.
The problem is, separating it out cleanly into something I can put into Runge-Kutta.
$\exp(-x^\prime)=x^\prime-x+\exp(-t^3)$
$x(0)=1$
Any ideas what type of ODE this is called? I feel more confident with CS skills and programming numerical methods than I do in math... so any insights into this problem would be helpful.