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let y(x) satisfying the differential equ...

let `y(x)` satisfying the differential equation `x(dy)/(dx)+2y=x^(2)` given `y(1)=1` then `y(x)=`

A

`(x^(2))/(4)-(3)/(4x^(2))`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-COMPETITION FILE
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