Observe and solve.

Calculus Level 4

Let y(x)+y(x)g(x)=g(x)g(x),y(0)=0\displaystyle y'(x)+y(x)g'(x)=g(x)g'(x) ,\quad y(0)=0 where x is real no. , f(x)f'(x) denotes df(x)dx\frac{df(x)}{dx} and g(x)g(x) is a given non constant differentiable function on RR with g(0)=g(2)=0g(0)= g(2) = 0. Then the value of y(2)y(2) is

This problem is a part of the set advanced is basic
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