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Exact Differential Equation


Definition

An exact differential equation is one that can be solved using a simple differentiation criterion, where the partial derivatives of two functions must be equal.

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Problems Solved

$\frac{dy}{dx}=\frac{x^5}{y^4}$
$xdx-y^3dy=0$
$\frac{dy}{dt}=\frac{2}{y}$
$\frac{dy}{dx}=\frac{k}{-v}$
$\left(y+2\right)dx+\left(x-3\right)dy$
$\frac{dy}{dx}=\frac{-2xy}{x^2-8y^2}$
$\left(5x^2+4y^2\right)dx+\left(4y^2+8xy\right)dy=0$

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