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Question

Solve the differential equation dydx=4x3y3x2y.

A
3xyy22x2=c
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B
3xy+y22x2=c
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C
2xyy22x2=c
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D
2xy+y22x2=c
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Solution

The correct option is A 3xyy22x2=c
Given equation is dydx=4x3y3x2y
3xdy2ydy=4xdx3ydx3(xdy+ydx)2ydy4xdx=03d(xy)2ydy4xdx=0(3d(xy)2ydy4xdx)=03xyy22x2=c

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