Runge Kutta for solving 2nd order ODE

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Homework Statement


(tw')' + tw = 0 with w(0) = 1, w'(0) = 0 on the interval [0,1]
by introducing the new variable v=tw' and considering the resulting first order differential system involving w and v
Report your computed solution (wh(1),vh(1)) for h=1/10.

Homework Equations





The Attempt at a Solution


x'(t) = f(x,t),
x(t0) = x0
I have no idea how I apply v'=tw into above formulas.
Could anyone show me one step?
 

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