First order scalar ODE

First order scalar ODEs are the first ODEs we study.

• Scalar: One unknown
• First order: y'

They come in the form

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y' + p(t) y = g(t)}

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.