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Equazione differenziale omogenea


Definition

Un'equazione differenziale omogenea è quella che può essere scritta nella forma seguente: $\frac{dy}{dx}=F\left(\frac{y}{x}\right)$.

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Problems Solved

$\left(3x-y\right)dx+xdy=0$
$2x^2\cdot dy=\left(x^2+y^2\right)dx$
$x^2+3xy+y^2-x^2y'=0$
$\frac{x-y}{x}\frac{dy}{dx}=\frac{x+y}{x}$
$\frac{dy}{dx}=\frac{y\left(y-x\right)}{x\left(y+x\right)}$
$y'=\frac{\left(2x+y\right)}{x+2y}$
$y^{\prime}=\frac{x+3y}{2x}$

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