Ordinary Differential Equations/Old contents

old table of contents

 * Form and Solutions of Differential Equations
 * First-Order Differential Equations
 * Separation of Variables
 * Linear Differential Equations
 * Exact Differential Equations
 * Substitution Methods
 * Bernoulli Equations
 * Ricatti Equations
 * Orthogonal and Oblique Trajectories
 * Equations of higher degrees
 * Equations without x or y
 * Equations that are homogeneous in x and y
 * d'Alembert's Equation
 * Clairaut Equations
 * Legendre Transformations
 * Graphing Differential Equations
 * Second-Order Differential Equations
 * Constant Coefficients
 * Series Solutions
 * Hypergeometric Equation
 * Frobenius Solution to the Hypergeometric Equation
 * Legendre Equation
 * Bessel Equation
 * Mathieu Equation
 * Continued Fraction Solutions
 * Applications of Second-Order Differential Equations
 * Higher Order Differential Equations
 * Linear equations
 * General Linear Equations
 * Infinite Series Solutions to Linear Equations
 * Integration methods
 * Laplace Transform
 * Bessel Function
 * Euler Transform
 * Mellin Transform
 * Hypergeometric Series
 * Double Integration
 * /Sturm-Liouville theory/
 * Systems of linear differential equations
 * /Nonlinear Systems/
 * /Green's Functions/
 * Existence and Uniqueness of Solutions
 * /Global uniqueness of solution over interval/
 * /Maximum domain of solution/
 * The Successive Approximations Method of Proof
 * Applications to Linear Equations
 * The Cauchy-Lipschitz Method of Proof
 * Existence Theorems for Complex Numbers
 * Continuous Transformation Groups
 * Infinitesimal Transformations
 * Invariant Functions
 * /Glossary/
 * /List of Some Equations/
 * Help Needed
 * /Roadmap/