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The differential equation $\frac{dy}{dx} = \frac{-(x + x^{8} + py^{2})}{y^{8} - y + qxy}$ is exact if}

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Exactness is the "cross-derivative" check. If $M_y = N_x$, the path integral is independent of the path.

Updated On: Jul 3, 2026

$2p = q$
$p = q$
$p \neq 2q$
$p = 1, q = 3$

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The Correct Option is A

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