For the differential equation

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

For the differential equation dydx=2xy−3\dfrac{dy}{dx}=\dfrac{2x}{y-3}, which of the following represents the general solution? (a) (y−3)2=4x2+C(y-3)^{2}=4x^{2}+C (b) (y−3)2=2x2+C(y-3)^{2}=2x^{2}+C (c) y−3=2x2+Cy-3 = 2x^{2}+C (d) (y−3)2=x2+C(y-3)^{2}=x^{2}+C

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