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Question

The equation of the curve passing through (3, 9) which satisfies
dydx=x3+1x2is

A
6xy=3x36x+29
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B
6xy=3x229x+6
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C
6xy=3x3+29x6
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D
None of these
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Solution

The correct option is C 6xy=3x3+29x6
The given differential equation has variable separable so integrating, we have y =x221x+CThis will pass through (3,9) if 9=9213+CC=296
Hence the required equation is 6xy=3x3+29x6

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