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Download PDF Mathematic SCHAUM’S Easy OUTLINES DIFFERENTIAL EQUATIONS by Richard Bronson


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

  1. Basic Concepts and Classifying Differential Equations
  2. Solutions of First-Order Differential Equations
  3. Applications of First-Order Differential Equations
  4. Linear Differential Equations: Theory of Solutions
  5. Solutions of Linear Homogeneous Differential Equations with Constant Coefficients
  6. Solutions of Linear Nonhomogeneous Equations and Initial-Value Problems
  7. Applications of Second-Order Linear Differential Equations
  8. Laplace Transforms and Inverse Laplace Transforms
  9. Solutions by Laplace Transforms
  10. Matrices and the Matrix Exponential
  11. Solutions of Linear Differential Equations with Constant Coefficients by Matrix Methods
  12. Power Series Solutions
  13. Gamma and Bessel Functions
  14. Numerical Methods
  15. Boundary-Value Problems and Fourier Series



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