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The solution of the differential equatio...

The solution of the differential equation
`2x^(2)y(dy)/(dx) = tan(x^(2)y^(2))-2xy^(2)`, given `y(1) = sqrt(pi/2)`, is

A

`sin ( x ^(2) y^(2)) -1=0`

B

`cos ((pi)/(2)+x ^(2)y^(2)) +x=0`

C

`sin (x ^(2) y^(2)) =e ^(x-1)`

D

`sin (x ^(2) y ^(2)) =e ^((x-1))`

Text Solution

Verified by Experts

The correct Answer is:
C
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