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I am stuck on the initial steps of this problem - its been a while since my diff. eq course.

I need to reduce this into a system of three equations then apply a 4th order runge kutta method to solve.

## Homework Statement

f'''+f*f''=0

Boundary conditions:

f'(0)=f(0)=0

f'(infinity)=0

A. Reduce this equation to a system of three first order equations, with associated boundary conditions.

## The Attempt at a Solution

Am I on the right track?

(equation 1) f'=g

(2) g'=h

(3) h'=-f*h

how to apply boundary conditions?