Differential Equations With Applications and Historical Notes by George F. Simmons

Differential Equations With Applications and Historical Notes by George F. Simmons

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Table of contents


  1. The Nature of Differential Equations. Separable Equations
  2. First Order Equations
  3. Second Order Linear Equations
  4. Qualitative Properties of Solutions
  5. Power Series Solutions and Special Functions
  6. Fourier Series and Orthogonal Functions
  7. Partial Differential Equations and Boundary Value Problems
  8. Some Special Functions of Mathematical Physics
  9. Laplace Transforms
  10. Systems of First Order Equations
  11. Nonlinear Equations
  12. The Calculus of Variations
  13. The Existence and Uniqueness of Solutions
  14. Numerical Methods
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