![]() ![]() Second-Order Linear Equations: Ordinary PointsĪppendix: Hermite Polynomials and Quantum MechanicsĪppendix: Chebyshev Polynomials and the Minimax PropertyĮven and Odd Functions: Cosine and Sine SeriesĪppendix: A Pointwise Convergence Theorem Series Solutions of First-Order Equations Power Series Solutions and Special Functions Oscillations and the Sturm Separation Theorem Operator Methods for Finding Particular Solutions Higher-Order Linear Equations: Coupled Harmonic Oscillators Newton’s Law of Gravitation and the Motion of the Planets Vibrations in Mechanical and Electrical Systems Homogeneous Equation with Constant Coefficients ![]() General Solution of the Homogeneous Equation Growth, Decay, Chemical Reactions, and Mixingīrachistochrone: Fermat and the BernoullisĪppendix: Some Ideas from the Theory of Probability: The Normal Distribution Curve (or Bell Curve) and Its Differential Equation The Nature of Differential Equations: Separable Equationsįamilies of Curves: Orthogonal Trajectories
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