First published by Prentice-Hall in 1958, the most comprehensive and widely available version is the . This third edition is a substantial tome of 654 pages, offering a detailed exploration of the subject matter.

e∫P(x)dxe raised to the integral of cap P open paren x close paren d x power 2. Linear Differential Equations of Higher Order

First published in by Prentice-Hall, Applied Differential Equations quickly gained traction in university classrooms. The book's longevity is underscored by its evolution across multiple editions:

| Part | Category | Chapter Title | | :--- | :--- | :--- | | | Ordinary Differential Equations (ODEs) | 1. Differential Equations in General | | | | 2. First-Order and Simple Higher-Order ODEs | | | | 3. Applications of First-Order and Simple Higher-Order ODEs | | | | 4. Linear Differential Equations | | | | 5. Applications of Linear Differential Equations | | | | 6. Solution of Linear DEs by Laplace Transforms | | | | 7. Solution of DEs by Use of Series | | | | 8. Orthogonal Functions and Sturm-Liouville Problems | | | | 9. The Numerical Solution of Differential Equations | | 2 | Systems of ODEs | 10. Systems of Differential Equations | | | | 11. Applications of Systems of DEs | | | | 12. Matrix Eigenvalue Methods for Systems of Linear DEs | | 3 | Partial Differential Equations (PDEs) | 13. Partial Differential Equations in General | | | | 14. Solutions of Boundary Value Problems Using Fourier Series | | | | 15. Solutions of Boundary Value Problems Using Bessel and Legendre Functions |

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