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Learn to solve linear systems of differential equations when the coefficient matrix has complex eigenvalues in this 42-minute raw class recording. Follow the complete step-by-step process for recognizing systems with complex eigenvalues, computing eigenvalues and eigenvectors, and constructing real-valued solutions from the complex exponential form re^(λt). Work through a comprehensive example solved during the actual lecture, with the unedited format allowing you to pause, review, and follow along with your notes at your own pace. Master the techniques for handling complex eigenvalues in differential equation systems, building on concepts from both differential equations and linear algebra.
