Use RK4 to find the solution to

subject to the initial conditions y(0) = −1, y′(0) = 1/2, y″(0) = −1/3, y″′= 1/4, and y″″ = −1/5. Your program should make a plot of the fourth derivative of y versus the second derivative of y up to a time t = 1. What equations convert this into an autonomous system of first-order equations?

Transcribed Image Text:

dsy dt5 - 3 d³y dt3 (2) + dy dt di = 1¹/2