Mathematics · essential

Integrating factor for linear DE for JEE

Solution of a homogeneous and linear differential equation of the type dy/dx + p(x)y = q(x)

Formula

\(\mathrm{I.F.}=e^{\int p(x)\,dx}\)

Variables: \(p(x)\) is the coefficient of \(y\) in \(\dfrac{dy}{dx}+p(x)y=q(x)\).

Conditions: Applicable to first-order linear equations in standard form.

Core formula for solving linear differential equations.

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