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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.


Problems Solved

$\csc\left(y\right)\cdot dx+dy\sec\left(x\right)^2=0$
$\frac{dx}{dy}=-\frac{3}{50}\sqrt{y}$
$y'=2y$
$\left(1+x\right)^2\frac{dy}{dx}=\left(1+y\right)2$
$\frac{dy}{dx}=\frac{10}{x^{\frac{1}{3}}}$
$\frac{dy}{dx}-4x\cdot y=0$
$y'=4x+2$
$\frac{dx}{dy}=\frac{x^2}{2y+1}$

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