[R] Euler & Runge-Kutta

[Tom Mosca]

Can someone help me with R code to perform approximations to second order differential equations and systems of first order differential equations using Euler's method and Runge-Kutta?  I am not a student and this is not for a test or graded assignment.

Examples (unrelated to each other):

h = 0.1

1.  3(t^2)y'' - 5ty' + 5y = 0
     y(1) = 0, y'(1) = 2/3

2.  Lotka-Volterra
     x' = x(3-y)
     y' = y(x-3)




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