Differential and Integral Equations through Practical Problems and Exercises

Introduction. Part I: Problems. 1. Differential Equations Solvable by Quadrature. 2. Existence and Uniqueness Theorems. 3. Linear Differential Equations. 4. The Method of Laplace Transforms. 5. Integral Equations. 6. Numerical and Approximate Methods of Solving Differential and Integral Equation. 7. First Order Partial Differential Equations. 8. Miscellaneous Problems. Part II: Solutions. 1. Differential Equations Solvable by Quadrature. 2. Existence and Uniqueness Theorems. 3. Linear Differential Equations. 4. The Method of Laplace Transforms. 5. Integral Equations. 6. Numerical and Approximate Methods of Solving Differential and Integral Equation. 7. First Order Partial Differential Equations. Bibliography.