Consider the differential equation

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

Consider the differential equation

\dfrac{dy}{dx}=\dfrac{x}{y}

. Which option gives a general family of solutions to the equation? (a)

y = \sqrt{x^{2}+C}

(b)

y^{2}=x^{2}+C

(c)

y^{2}=\dfrac{1}{2}x^{2}+C

(d)

y^{2}=\dfrac{x^{3}}{3}+C

Related theory

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