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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

$2xydx++\left(1+x^2\right)dy=0$
$\frac{dy}{dx}=\frac{-3y}{3x-7y}$
$\frac{dy}{dx}=\frac{x^2+1}{y^2}$
$\frac{dy}{dx}=\frac{x^2+2}{y},\:y\left(1\right)=7$
$\frac{dx}{dt}=\frac{1+t}{1-x}$
$\frac{dy}{dx}=\:\frac{1}{\left(4y^3+y+1\right)}$
$\frac{dy}{dx}=\frac{5x}{7y}$
$\left(y-1\right)dx+\left(x-3\right)dy=0$

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