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Problem 28

Lunar Orbit. The motion of a moon moving in a pla…

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Problem 27

Generalized Blasius Equation. H. Blasius, in his study of
laminar flow of a fluid, encountered an equation of the form
$$
y^{\prime \prime \prime}+y y^{\prime \prime}=\left(y^{\prime}\right)^{2}-1
$$
Use the Runge-Kutta algorithm for systems with $h=0.1$
to approximate the solution that satisfies the initial con-
ditions $y(0)=0, y^{\prime}(0)=0,$ and $y^{\prime \prime}(0)=1.32824$
Sketch this solution on the interval $[0,2]$ .

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