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

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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