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Find the curve y= f(x) where f(X) ge 0, ...

Find the curve y= f(x) where `f(X) ge 0, f(0) =0,`bounding a curvilinear trapezoid with the base [0,x] whose area is proportional to `(n+1)^th` power of f(x). It is known that f(1) = 1.

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The correct Answer is:
`y = x^1/n`
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MOTION-DIFFERENTIAL EQUATION -Exercise 3
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