Solves a higher order
ordinary differential equation (2.nd order, in this case),
x" = t² sin(x + x')
by
the (usual) Runge-Kutta 4.th order method.
The independent variable is t and the equation
contains x(t) and its derivatives
with respect to t. The two initial values are, of course,
supposed given.
The equation is converted into an equivalent
system of first order equations, as is typically recommended.
The source cited ("Ex. 14.39", below) offers no
(analytical or numerical) solution.
Draws graphs for x and x'.
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