Ordinary Differential Equations | B.A./B.Sc. First Year MINOR-2 Paper | NEP 2020 Syllabus of All Madhya Pradesh Universities | Solved Papers, MCQs, Objective & HOTS | Dr. H.K. Pathak

So you buy the right book: this is the MINOR-2 paper - Ordinary Differential Equations, 60 lectures. If you need Differential Equations AND Geometry (Major-3), that is 'Avkal Sameekaran aur Jyamiti'. If you need Basic Calculus and Vector Calculus (Minor-1), that is a third book. All by the same author.

The book most students are pointed to for this paper is Raisinghania's Ordinary and Partial Differential Equations. It is a fine book and the wrong one for you. It covers ordinary and partial differential equations for mathematics majors, at around Rs.748. Your paper is 60 lectures of ordinary differential equations alone. This book covers exactly that and stops - 328 pages, at roughly a third of the price.

Module I covers the historical background and the contributions of Aryabhata, Bhaskaracharya and Madhava. Module II, the heaviest at 20 lectures, covers linear differential equations, equations reducible to linear form, change of variables, exact equations, and first order higher degree equations - solvable for x, y and p, homogeneous in x and y, Clairaut's equation and singular solutions. Module III, also 20 lectures, covers linear equations with constant coefficients, homogeneous linear ODEs and linear equations of second order. Module IV covers the method of variation of parameters and ordinary simultaneous differential equations of first order.

The Case Study module on Industrial Applications is included - differential equations in industry, business and economics.

Solved examples building from first principles to exam standard, MCQs, Objective Questions, HOTS problems, and previous year papers solved in full.

By Dr. H.K. Pathak, Ex-Professor and Head, School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur; former Dean of Science; cited over 3,300 times. For students at Vikram Ujjain, DAVV Indore, Jiwaji Gwalior, RDVV Jabalpur, Barkatullah Bhopal, Harisingh Gour Sagar and APS Rewa. Also in Hindi as Sadharan Avkal Sameekaran.