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3 cards from this section. Quick, good the night before a test.
Define the Wronskian.
Think about solutions to a differential equation.
What is the general solution to a homogeneous equation?
Consider how constants come into play.
What does the Wronskian signify?
Think about independence in mathematics.
A particular solution is derived from the homogeneous solution only.
Reflect on the terms involved.
Given the differential equation y′′ - 2y′ + 5y = t², use variation of parameters to find the particular solution.
Focus on each step and carefully calculate each part.
For the equation y′′ + 4y = e^x, apply the variation of parameters method to find the general solution.
Make sure to pay special attention to the integration parts.
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