Advanced differential equation/ Hari Kishan

Includes index

1. Linear Differential Equations of second order with variable coefficients -- 2. Simultaneous Equations of the Form -- 3. Exact Differential Equations and Equations of Special Forms -- 4.Total Differential Equations -- 5. Riccati's Equation 6. Series Solutions -- 7. Legendre's Equation -- 8. Bessel’s Equation -- 9. Partial Differential Equations of the First Order -- 10. Lagrange's Linear Partial Differential Equation -- 11. Non-Linear Partial Differential Equations of Order One -- 12. Linear Partial Differential Equations with Constant Coefficients -- 13.Equations Reducible to Linear Equations with Constant Coefficients -- 14. Partial Differential Equations of Second Order with Variable Coefficients -- 15. Monge's methods

Advanced Differential Equations offers an exhaustive exploration of differential equations essential for advanced mathematical and scientific endeavours. The book takes up concepts of Second Order Linear Differential Equations, Simultaneous Equations, Partial Differential Equations, Exact Differential Equations and Special Forms, including homogeneous and Bernoulli equations. Meticulously dissecting techniques like variation of parameters and undetermined coefficients as well as series solutions and special functions, the book provides readers with versatile problem-solving strategies. Whether a student, educator or professional, this comprehensive resource is indispensable for navigating the complexities of advanced differential equations.