First order scalar ODE: Difference between revisions

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* Scalar: One unknown
* Scalar: One unknown
* First order: ''y'''
* First order: ''y'''
They come in the form
<math>y' + p(t) y = g(t)</math>
where the first term is normalized, ''p'' and ''g'' are continuous functions.
= Solution =
Note that integrating a differential equation on both sides does not solve it. We need another algorithm.
[[Category:Differential Equations]]

Revision as of 22:13, 15 April 2024

First order scalar ODEs are the first ODEs we study.

  • Scalar: One unknown
  • First order: y'

They come in the form

where the first term is normalized, p and g are continuous functions.

Solution

Note that integrating a differential equation on both sides does not solve it. We need another algorithm.