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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` for all `x>=0` then 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

Verified by Experts

The correct Answer is:
C
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