Question 55

Let $$y'(x) + y(x)g'(x) = g(x)g'(x), y(0) = 0, x \in R$$, where $$f'(x)$$ denotes $$\frac{d f(x)}{dx}$$ 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


Correct Answer: 0


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