# Observe and solve.

Calculus Level 4

Let $$\displaystyle y'(x)+y(x)g'(x)=g(x)g'(x) ,\quad y(0)=0$$ where x is real no. , $$f'(x)$$ denotes $$\frac{df(x)}{dx}$$ 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

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