# Category:Examples of Solution by Integrating Factor

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This category contains examples of use of Solution by Integrating Factor.

The technique to solve a linear first order ordinary differential equation in the form:

- $\dfrac {\d y} {\d x} + \map P x y = \map Q x$

It immediately follows from Integrating Factor for First Order ODE that:

- $e^{\int \map P x \rd x}$

is an integrating factor for $(1)$.

Multiplying it by:

- $e^{\int \map P x \rd x}$

to reduce it to a form:

- $\dfrac {\d y} {\d x} e^{\int \map P x \rd x} y = e^{\int \map P x \rd x} \map Q x$

is known as **Solution by Integrating Factor**.

It is remembered by the procedure:

*Multiply by $e^{\int \map P x \rd x}$ and integrate.*

## Subcategories

This category has only the following subcategory.

## Pages in category "Examples of Solution by Integrating Factor"

The following 4 pages are in this category, out of 4 total.