Differential Equations | B.A./B.Sc. Second Year Semester III | All Chhattisgarh State Universities | NEP 2020 | Useful for GATE MA, CSIR NET & IIT JAM | Dr. H.K. Pathak

Most students treat Ordinary Differential Equations and Partial Differential Equations as two separate, advanced subjects. This 544-page book covers both completely — in one volume, in simple English, with previous year papers for every chapter.  Written by Dr. H.K. Pathak, Ex-Professor and Former Head, School of Studies in Mathematics, Pt. Ravishankar Shukla University (PRSU) Raipur, with 3,400+ Google Scholar citations, this book follows the exact NEP 2020 Algebra syllabus for B.A./B.Sc. Second Year Third Semester at all Chhattisgarh State Universities.  WHAT THIS BOOK COVERS (All 4 Units, 60 Teaching Hours): Unit I — First Order Differential Equations: Indian Mathematician contributions (Aryabhatta, Varahmihir, Bhaskar-I, Shreedharacharya); Separable, Homogeneous, Linear and Exact DEs; Integrating factor; Higher degree equations solvable for x, y, p; Charpit's form; Singular solutions; Orthogonal trajectories Unit II — Linear and Simultaneous ODEs: Linear DEs with constant coefficients; Homogeneous linear ODEs of second order; Transformation by change of variable; Variation of parameters; Ordinary simultaneous differential equations Unit III — First Order PDEs: Lagrange's solution; Special types of equations; Charpit's general method Unit IV — Second and Higher Order PDEs: Classification of second order linear PDEs; Homogeneous and non-homogeneous equations with constant coefficients; Monge's method  GATE MA, CSIR NET & IIT JAM: Differential Equations — both ODE and PDE — make up approximately 40% of the GATE Mathematics (MA) paper and are a major section in CSIR NET Mathematical Sciences and IIT JAM Mathematics. The topics covered in this book — Lagrange's solution, Charpit's method, variation of parameters, and PDE classification — are tested directly in these exams.  Published by Shree Shiksha Sahitya Prakashan, Meerut. Includes: Previous Year Papers (Solved), Solved Examples, MCQs, Objective Questions, HOTS Questions.