Differential Equations › Section I · Partial differential equations › Topic I.3
PDE terminology
Before solving any PDE you need to know what kind it is. A few words, linear, homogeneous and the type of a second order equation, decide whether the method of the next topic can work at all and how solutions behave.
In this topic
- Why the labels matter
- Operators
- Linear operators
- Linear equations and homogeneous equations
- Worked example: classifying four equations
- Linear and homogeneous boundary conditions
- The principle of superposition
- Worked example: superposition in action
- Three types of second order equation
- What the type tells you
- Common mistakes to avoid
- Key takeaways
This topic is part of Wuanberri Pro. Checking your access…