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Linear Differential Equation


Definition

A linear differential equation is one where the highest degree of the dependent variable is 1.

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Problems Solved

$\frac{dy}{dx}=15-3x-5y+xy$
$\frac{dy}{dx}+3y=0$
$y'-7y=0$
$3\left(\frac{dy}{dx}\right)+12y\:=\:4$
$x\left(\frac{dy}{dx}\right)+y=-sinx$
$x\frac{dy}{dx}+y=3x\sqrt{y}$
$y'\cdot x-5\cdot y=x^3$

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