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Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^...

Let `y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0)=0,x in R ,` where `f^(prime)(x)` denotes `(dy(x))/(dx),` and
`g(x)` is a given non-constant differentiable function on `R` with
`g(0)=g(2)=0.` Then the value of `y(2)` is______

A

(a) `0`

B

(b) `1`

C

(c) `-1`

D

(d) `2`

Text Solution

Verified by Experts

The correct Answer is:
A
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