The book "Advanced Differential Equations" by M D Raisinghani is a comprehensive textbook that covers a wide range of topics in advanced differential equations. The book is designed for students and researchers who have a basic understanding of differential equations and wish to explore more advanced topics. The book covers the following topics:

Deep coverage of linear, non-linear, and quasi-linear first-order PDEs using Lagrange’s and Charpit’s methods.

Dr. Mira Raisinghani adjusted the microphone and watched the lecture hall fill with a restless tide of graduate students. On the lectern lay her weathered copy of Advanced Differential Equations, its margins thumbed and annotated in a handwriting that had guided generations of applied mathematicians. Tonight’s seminar, however, had come to her in an unusual form: an anonymous PDF circulating under the name “md_raisinghaniapdf_hot,” a garish filename that had blew up across the department’s file server.

: Available at Amazon.in for ₹895 ₹810 or at onetouchbook.com for ₹760 .

If you are serious about mastering differential equations—whether for an academic degree or a high-stakes competitive exam—M.D. Raisinghania remains an indispensable resource. While digital "hot" links are common, the physical book remains a staple on the desks of mathematicians across the subcontinent.

Raisinghania’s book is paper-based, but your lifestyle can be digital-smart.

Digital formats are easier to carry, searchable, and often more accessible than physical copies.

Substantial focus on Laplace , Fourier , and Hankel transforms , which are essential for simplifying complex differential equations into algebraic forms.

I’m currently diving into by M.D. Raisinghania (published by S. Chand). This is a hot topic for competitive exams like CSIR-NET, GATE, and JAM, as well as for M.Sc. mathematics students.

: Focuses on fundamentals like first-order equations and linear equations of the second order.