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The solution of the differential equatio...

The solution of the differential equation `(y^(2)dx-2xydy)=x^(3)y^(3)dy+x^(2)y^(4)dx` is

A

`log((x)/(y^(2)))=((xy)^(2))/(2)+C`

B

`(x)/(Cy^(2))=e^(((xy)^(2))/(2))`

C

`((x)/(y^(2)))=2log(xy)+C`

D

`(x)/(y^(2))=e^((2xy))+C`

Text Solution

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The correct Answer is:
A
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