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Separable Differential Equation


Definition

A separable differential equation is one that can be solved by separating variables, that is, when all expressions involving a variable can be placed on one side of the equation, and expressions involving the other variable on the other side of the equation.

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Problems Solved

$y=\frac{dy}{dt}$
$y=xy\:\frac{dx}{dy}$
$y=x\frac{dy}{dx}$
$y=\frac{x'}{3}$
$y\:=ln\left(\frac{dy}{dx}\right)$
$y=\frac{dy}{dx}\left(10^{2x+1}\right)$
$y=\frac{2}{\left(x\right)^'}$

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