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]] | |||
Latest revision as of 21:21, 1 May 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.
