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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

$x^2dx+y^2dy$
$xy^2dx\:+\:\left(1+\:x^2y\right)dy\:=\:0$
$dy-x^3dx=0$
$\left(x-2y\right)\frac{dy}{dx}+2x+y=0$
$\left(4x+1\right)dx\:+\left(5y\:+\:7\right)dy$
$\left(x^3-y\right)dx\:+\:\left(y^3-x\right)dy=0$
$\frac{dy}{dx}=\left(-\frac{ax+by}{bx+cy}\right)$

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