Sinopsis
Adifferential equation is an equation involving an unknown function and its derivatives. Adifferential equation is an ordinary differential equation if the unknown function depends on only one independent variable. If the unknown function depends on two or more independent variables, the differential equation is a partial differential equation. In this book we will be concerned solely with ordinary differential equations.
Content
- Basic Concepts and Classifying Differential Equations
- Solutions of First-Order Differential Equations
- Applications of First-Order Differential Equations
- Linear Differential Equations: Theory of Solutions
- Solutions of Linear Homogeneous Differential Equations with Constant Coefficients
- Solutions of Linear Nonhomogeneous Equations and Initial-Value Problems
- Applications of Second-Order Linear Differential Equations
- Laplace Transforms and Inverse Laplace Transforms
- Solutions by Laplace Transforms
- Matrices and the Matrix Exponential
- Solutions of Linear Differential Equations with Constant Coefficients by Matrix Methods
- Power Series Solutions
- Gamma and Bessel Functions
- Numerical Methods
- Boundary-Value Problems and Fourier Series
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