Differential Equations
by Dr. H.K. Pathak
₹470
Useful for
About this book
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, PRSU Raipur, with 3,400+ Google Scholar citations, this book follows the exact NEP 2020 syllabus for B.A./B.Sc. Second Year Semester III at all Chhattisgarh State Universities.
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. Topics covered — Lagrange's solution, Charpit's method, variation of parameters, PDE classification — are tested directly in these exams. Published by Shree Shiksha Sahitya Prakashan, Meerut.
Syllabus coverage
Unit 1 · First Order Differential Equations
Indian Mathematician contributions; Separable, Homogeneous, Linear and Exact DEs; Integrating factor; Charpit's form; Singular solutions; Orthogonal trajectories
Unit 2 · Linear and Simultaneous ODEs
Linear DEs with constant coefficients; Homogeneous linear ODEs of second order; Transformation by change of variable; Variation of parameters; Simultaneous DEs
Unit 3 · First Order PDEs
Lagrange's solution; Special types of equations; Charpit's general method
Unit 4 · Second and Higher Order PDEs
Classification of second order linear PDEs; Homogeneous and non-homogeneous equations with constant coefficients; Monge's method
