About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 103. Chapters: Ordinary differential equation, Examples of differential equations, Harmonic oscillator, Perturbation theory, Spectral theory of ordinary differential equations, Frobenius solution to the hypergeometric equation, Hypergeometric function, Generalized hypergeometric function, Parametric oscillator, Euler-Lagrange equation, Michaelis-Menten kinetics, Normal mode, Exponential growth, Numerical ordinary differential equations, Isomonodromic deformation, Painleve transcendents, Sturm-Liouville theory, Damping, Separation of variables, Matrix differential equation, Airy function, Abel's identity, Characteristic equation, Riemann-Hilbert problem, Growth curve, Variation of parameters, Picard-Lindelof theorem, Regular singular point, Frobenius method, Magnus expansion, Power series solution of differential equations, Method of undetermined coefficients, Liouville's formula, Damping ratio, Mathieu function, Hilbert's twenty-first problem, Wronskian, Boundary value problem, Cauchy-Euler equation, Laser diode rate equations, Integral curve, Lagrange's identity, Riccati equation, Landau-Lifshitz-Gilbert equation, Parasitic oscillation, Van der Pol oscillator, Grothendieck-Katz p-curvature conjecture, Schwarzian derivative, Reduction of order, Goldbeter-Koshland kinetics, Phase plane, Integrating factor, Sturm separation theorem, Adams-Williamson equation, Heun function, Riemann's differential equation, Caratheodory's existence theorem, Lane-Emden equation, Picard-Fuchs equation, Exact differential equation, Bernoulli differential equation, Peano existence theorem, Dynamic simulation, Phase line, Inseparable differential equation, Clairaut's equation, Manakov system, Hill's equation, Laplace transform applied to differential equations, Duffing equation, Ordered exponential, Green's matrix, Movable singularity, Chebyshev equation...