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.