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Question

Equation of curve passing through (3, 9) which satisfies the differential equation dydx=x+1x2, is

A
6xy=3x26x+29
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B
6xy=3x329x+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
dydx=x+1x2dy=(x+1x2)dxy=x221x+c
Since it passes through (3, 9), therefore
9=9213+cc=296y=x221x+2966xy=3x3+29x6.

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