Differential Equations - Quizzes

Quizzes (current as of spring 26)

Part 1 -- Basic differential equations

Quiz 1 -- Prerequisites (algebra, calculus)
- Practice problems; solutions; Vimeo; YouTube
Quiz 2 -- Verifying; modeling; separable; linear first-order; mixing
Quiz 3 -- Exact; substitution; population modeling; autonomous
Quiz 4 -- Wronskian and linear independence; constant coefficients; nonhomogeneous
Quiz 5 -- Spring-mass systems; undetermined coefficients; variation of parameters

Part 2 -- Systems of differential equations

Quiz 6 -- Systems; mixing; tradeoff of order and number of equations; matrices
Quiz 7 -- Verifying; Wronskian; eigenvalue methods including complex and repeated
Quiz 8 -- Fundamental matrix; undetermined coefficients; variation of parameters

Part 3 -- Laplace transforms and series

Quiz 9 -- Basics of Laplace transforms; solving ODEs w/ Laplace
Quiz 10 -- Advanced methods using Laplace; piecewise functions
Quiz 11 -- Series solutions; sum manipulation; recurrence relations

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