Physix & Maths

Calculus Level 5

Two differential equations;

\( f'(x)= -\frac{f(x)}{\sqrt{f^2(x) +g^2(x)}}\).

\( g'(x)= 1-\frac{g(x)}{\sqrt{(f^2(x) +g^2(x)}}\).

if \(g(0)=0\) and \(f(0)=1000\).

when \(\psi \rightarrow ∞\) \(f(\psi)=0\)

What's \(g(\psi)\)?

Moustafa could solve it! like!

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