Prove that the velocity potential and the stream function for a source flow, Equations (3.67) and (3.72), respectively, satisfy Laplace’s equation.

Prove that the velocity potential and the stream function for a source flow, Equations (3.67) and (3.72), respectively, satisfy Laplace's equation. \( \Phi=\frac{1}{2 \pi} \ln r \) (3.67) \( \psi=\frac{1}{2 \pi} \theta \)

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Prove that the velocity potential and the stream function for a source flow, Equations (3.67) and (3.72), respectively, satisfy Laplace’s equation.

Prove that the velocity potential and the stream function for a source flow, Equations (3.67) and (3.72), respectively, satisfy Laplace's equation. \( \Phi=\frac{1}{2 \pi} \ln r \) (3.67) \( \psi=\frac{1}{2 \pi} \theta \)

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