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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.


Problems Solved

$\left(x+\frac{4}{x}\right)\cdot dx-dy$
$\frac{dy}{dx}=\frac{x-y}{x+y}$
$\frac{dx}{dy}=\frac{1}{x+3}$
$\left(5y-2x\right)\cdot y'-2y=0$
$\left(y+1\right)\cdot dx+x\cdot dy=0$
$y\cdot dy-4x\cdot dx=0$
$\frac{dy}{dx}=\frac{3x^2+4x+2}{2\left(y+1\right)}$

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Popular problems

$\left(5y-2x\right)\cdot y'-2y=0$ 2 views
$dt-t^2\cdot dz=0$ 2 views
$\frac{dx}{dy}=\frac{1}{x+3}$
$\frac{dy}{dx}=\frac{x}{y^2}$
$\left(y+1\right)\cdot dx+x\cdot dy=0$
$\left(x+\frac{4}{x}\right)\cdot dx-dy$
$\frac{dy}{dx}=\frac{x-y}{x+y}$
$y'=y^{-1}$