dydx=y+xyx\frac{dy}{dx}=\frac{y+x}{y-x}

Calculus Level 4

Consider the differential equation dydx=y+xyx\dfrac{dy}{dx}=\dfrac{y+x}{y-x}.

Given that when x=1x=1, yy can take the values 0 and 2, what is the product of the two possible values of y(5)y(5)?

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