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The Alpha Method (Generalized Exponential Response Formula)
Easy particular solutions to nonhomoegenous constant coefficient linear differential equations with simple exponential/trigonometric forcing functions.
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Implicit Solutions to 2x2 Systems of First-Order Homogeneous Linear Differential Equations
Implicit and explicit solutions for all cases.
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Exponentials of Symmetric Matrices Using the Spectral Theorem
yeah
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Constructing Systems of Nonlinear First-Order Differential Equations to Model Population Dynamics
Build a system with desired behavior.
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A Different Perspective of Diagonalization
An (atttempt at an) intuitive approach to similar matrix decomposition.