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If a curve y=f(x) satisfy the differenti...

If a curve `y=f(x)` satisfy the differential equation `2x^2dy=(2xy+y^2)dx` and passes `(1,2)` the find `f(1/2)`

A

`(-1)/(1+log_(e)2)`

B

`1+log_(e)2`

C

`(1)/(1+log_(e)2)`

D

`(1)/(1-log_(e)2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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