HUNTERTUTORING

First-order equations

Differential equations · STEM / applied

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