Differential Equations with Applications and Historical Notes (Paperback, 3 ed)

The Nature of Differential Equations: Separable Equations. First-Order Equations. Second-Order Linear Equations. Qualitative Properties of Solutions. Power Series Solutions and Special Functions. Fourier Series and Orthogonal Functions. Partial Differential Equations and Boundary Value Problems. Some Special Functions of Mathematical Physics. Laplace Transforms. Systems of First-Order Equations. Nonlinear Equations. Calculus of Variations. The Existence and Uniqueness of Solutions. Numerical Methods. Numerical Tables.