In this program
- First-order equations and classification
- Separation of variables
- Classical PDEs in one space dimension
Separation of variables
Partial differential equations · STEM / applied
Separation of variables for linear PDEs with homogeneous BCs
Objectives
- Separation of variables for linear PDEs with homogeneous BCs
- Eigenvalue problems arising from separation
- Superposition
- The general solution structure
- Sturm–Liouville theory (introduction at undergraduate level)
- Laplace's equation in a rectangle; Poisson equation (brief)
Study materials
- Study guideComing soon
- Exam StrategyComing soon
- Common MistakesComing soon
- WorksheetsComing soon
- Word problemsComing soon
- Mixed PracticeComing soon
- Multi-Unit ProblemsComing soon
- ReviewComing soon
- Practice testComing soon
- Answer keyComing soon
Interactive practice
Quizzes, typed answers, and flashcards for this unit — coming soon.
- Coming soon
Quiz
Multiple-choice questions with instant feedback
- Coming soon
Typed practice
Type answers and check them
- Coming soon
Flashcards
Vocabulary and key facts
- Coming soon
Mixed quiz
Harder mixed review for this standard