Differential Equations › Section B · First order differential equations › Topic B.2
Separable equations
When the variables in a first-order equation can be pulled apart, two ordinary integrations solve it. The real skill lies in what comes after: handling implicit answers, choosing the right branch, and finding exactly where the solution lives.
In this topic
- The second general tool
- Why separation works
- Intervals of validity
- Worked example: a solution that blows up
- Worked example: an implicit answer
- Worked example: a logarithm sets the interval
- Choosing the branch
- Spotting separable equations
- Common mistakes to avoid
- Key takeaways
This topic is part of Wuanberri Pro. Checking your access…