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The solution of the differential eq...

The solution of the differential equation ` x(dy)/(dx) + 2y = x^2 (X ne 0)` with ` y(1) =1,` is :

A

`y= (4)/(5)x^(3)+ (1)/(5x^(2))`

B

`y= (x^(3))/(5)+ (1)/(5x^(2))`

C

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

D

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

Text Solution

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The correct Answer is:
C
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