Differential Equations › Section C · Second order differential equations › Topic C.7
More on the Wronskian
The Wronskian does more than certify a fundamental set. It tests whether two functions are linearly independent, and Abel's theorem lets you find it for an equation's solutions without solving the equation at all.
In this topic
- Two questions about one determinant
- Linear dependence and independence
- The Wronskian test
- Worked example: three pairs
- A zero Wronskian is not proof
- Abel's theorem
- Zero once means zero always
- Worked example: a Wronskian without solving
- Common mistakes to avoid
- Key takeaways
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