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The equation of curve passing through origin and satisfying the differential equation `(1 + x^2)dy/dx + 2xy = 4x^2` , is

A

`(1 + x^(2) ) y = x^(3)`

B

`3 ( 1+ x^(2))y = 2x^(3) `

C

`(1+ x^(2))y = 3x^(3) `

D

`3 ( 1+ x^(2))y= 4 x^(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
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