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Differential Equations


Definition

A differential equation is a mathematical equation that relates some function with its derivatives.


Problems Solved

$4tx\frac{dx}{dt}=\left(x^2+1\right)$
$4xt\frac{dx}{dt}=x^2+1$
$\frac{dx}{sec^2\left(x\right)}=\frac{y\:dy}{\left(y^2+1\right)}$
$\frac{dy}{dx}=\frac{e^x}{y^3}$
$\frac{dy}{dx}=\frac{x+9}{y^2}$
$\left(9x^2+3y^2\right)dx-\left(2xy\right)dy=0$
$\left(9x^2+3y^2\right)dx-2xydy=0$

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