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A function y=f(x) satisfies (x+1)f^(')(x...

A function `y=f(x)` satisfies `(x+1)f^(')(x)-2(x^(2)+x)f(x) = e^(x^(2))/(x+1), Aax gt -1`. If `f(0)=5`, then f(x) is

A

`((3x+5)/(x+1)).e ^(x ^(2))`

B

`((6x+5)/(x+1)).e ^(x ^(2))`

C

`((6x+5)/(x+1)^(2)).e ^(x ^(2))`

D

`((5x+6x)/(x+1)).e ^(x ^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
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