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A differentiable function y =g (x) satis...

A differentiable function `y =g (x)` satisfies `int _(0)^(x)(x-t+1)g (t) dt =x^(4)+x^(2),AAxge0.
`y =g (x)` satisfies the differential equation :

A

`(dy)/(dx) -y = 12 x^(2) +2`

B

`(dy)/(dx)+2y =12 x ^(2) +2`

C

`(dy)/(dx )+ y =12 x ^(2) +2`

D

`(dy)/(dx) +y =12x +2`

Text Solution

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The correct Answer is:
C
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