For all , a function satisfies and the point lies on its graph. Determine the…

MATHEMATICS · Subjective · A Level · Mathematics · Integration · Integration

Problem

For all x<−2x<-2, a function yy satisfies dydx=1x2−4\dfrac{dy}{dx}=\dfrac{1}{x^{2}-4} and the point (−3,0)(-3,0) lies on its graph. Determine the particular solution y(x)y(x) valid on the interval (−∞,−2)(-\infty,-2).

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