First-order equations
Differential equations · Standard syllabus
Classification of ODEs; initial value problems and existence (informal)
Objectives
- Classification of ODEs; initial value problems and existence (informal)
- Direction fields and Euler's method for first-order equations
- Separable differential equations
- First-order linear equations; integrating factors
- Exact equations and integrating factors (where covered)
- Substitution methods and Bernoulli equations (optional)
- Modeling with first-order equations: growth/decay, mixing, and Newton's law of cooling
Study materials
- Practice testComing soon