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Falkner-Skan equation

For

U = A x^{m}

,

ψ = νxU f (η)

gives

f^{'''} + \frac{m + 1}{2} f f^{''} + m (1 - f^{'2}) = 0,

with

f (0) = f^{'} (0) = 0

and

f^{'} (\infty) = 1

.

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Solution