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2 cards from this section. Quick, good the night before a test.
What is a non-homogeneous differential equation?
Consider how it differs from a homogeneous equation.
Describe the Wronskian.
Think of how it’s constructed using y and its derivatives.
What does variation of parameters allow us to do?
Think about the applicability of this method.
True or False: The Wronskian can be zero for independent solutions.
Remember what linear independence implies.
A beam is subject to a varying load modeled by g(x) = x^2. Derive the differential equation using variation of parameters and find the particular solution.
Focus on computing the Wronskian accurately.
Describe the limitations of variation of parameters and when you might prefer another method.
Think about the types of functions you can use.
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