Chapter 17 · Ordinary Differential Equations
17.03
Linear First-Order Equations and Integrating Factors
Every linear first-order equation y' + P(x)y = Q(x) can be solved: multiply by the integrating factor e^(∫P dx) and the left side becomes one derivative.
About 15 minutes
You'll learn to
- →Put a linear equation in standard form
- →Find and use an integrating factor
- →Solve initial value problems
- →Model mixing problems and identify steady states