Edit* should say F'(0) = F(0) = 0
I know that I typically need 3 equations for a 3rd order ODE, does this apply if the is no F'? In the picture above are the equations I came up with, am I on the right trail? Lastly I am familiar with RK4, however I have never used it to solve a system... how does one go about this? can it be done in excel? I took Diff Eq years ago and they really glossed over the numerical methods.
The Attempt at a Solution
The picture above is the question statement (at the top), and my attempt at breaking it into a system of equations.