![]() ![]() 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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