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. Emphasizes conceptual clarity, offering a comprehensive study of various differential equations Discusses real-world applications to bolster theoretical understanding Provides step-by-step solutions to facilitate enhanced self-learning Includes conceptual discussions with practical examples and exercises, ensuring a robust grasp of each topic