Calculus › Section G · Differential equations › Topic G.1
Slope fields and Euler's method
A differential equation describes how a quantity's rate of change depends on its current state. Even before you can solve one, slope fields and Euler stepping let you see and trace its solutions.
In this topic
- Equations whose answers are functions
- Checking is easier than solving
- Worked example: one constant, one condition
- What a slope field shows
- Worked example: reading a field
- Euler's method: walking the field
- Worked example: Euler in four steps
- Equilibria and the phase line
- Where this all leads
- Common mistakes to avoid
- Key takeaways
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Standards: 7