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2 cards from this section. Quick, good the night before a test.
What is the significance of the Wronskian in linear differential equations?
Think about the relationship of solutions in terms of dependence.
What do you do if the integral in variation of parameters becomes too complex?
Consider tools you’ve learned previously.
What does it mean if W(x) is zero?
Remember the purpose of checking Wronskian.
True or False: When g(x) is discontinuous, we cannot apply variation of parameters.
Consider how we might manage discontinuities.
Solve a non-homogeneous differential equation with a discontinuous g(x), providing a piecewise solution.
Find where g(x) is continuous first.
Demonstrate the necessity for the Wronskian and provide an example where failure to evaluate leads to incorrect conclusions.
Look into how linear combinations of solutions influence the Wronskian outcome.
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