Given that , when , find the value of…

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

Given that

\frac{dy}{dx} = \frac{ky - x^2}{y^2 - kx}

,

k > 0

when

x^3 + y^3 - 6xy = 0

, find the value of

k

.

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