Precize Partial Differential Equations (Pbi. U)


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The book is strictly in accordance with the latest syllabus of the PUNJABI UNIVERSITY, PATIALA. The entire subject matter has been arranged in a systematic, graded, simple, lucid and exhaustive manner. Each chapter begins with some definitions followed by theorems with complete proofs and solved problems. A large number of notes and remarks have been added for a better understanding of the subject. Well-planned and exhaustive exercises have been given in each chapter.



Partial Differential Equations : Partial differential equation of first order, Lagrange’s solution, Integral surfaces passing through a given curve, surfaces orthogonal to a given system of surfaces, Partial differential equation of first order but of any degree, Charpit’s general method of solution.

Partial Differential Equations of Second and Higher Order : Partial differential equations of the second order and their classification into hyperbolic, elliptic and parabolic types, canonical forms.Homogeneous and non-homogeneous partial differential equations with constant coefficients. One dimension Wave and Heat Equation. Two dimensional Laplace equation by separation of variable and D’Alembert’s solution of wave equation.



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