Course
Differential Equations — Practice Problems with Worked Solutions
Model change, solve initial-value problems, and read the dynamics behind the formulas.. 172 problems across 10 skills, each solved step by step and verified by a computer algebra system.
- 172
- problems
- 10
- skills
- 3
- units
- 4
- formulas
First-Order Equations
- Separable EquationsSeparate variables and lock in the initial condition.17 worked problems
- Linear EquationsUse integrating factors for driven first-order systems.17 worked problems
- Exact EquationsRecover a potential function from differential form.17 worked problems
- Equilibria & StabilityRead long-term behavior from a phase line.17 worked problems
Second-Order Equations
- Characteristic RootsTurn constant-coefficient ODEs into algebra.17 worked problems
- Homogeneous SolutionsBuild and fit exponential solution families.18 worked problems
- OscillationsSolve undamped motion with sine and cosine modes.17 worked problems
- Forced EquationsFind particular responses to external input.17 worked problems