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Differential Equations

Hari Kishan

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ISBN 10: 8126905816 / ISBN 13: 9788126905812
Published by Atlantic, New Delhi, 2006
Used Condition: As New Hardcover
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Contents Preface. I. Differential equations of the First Order and the First Degree 1. Definitions. 2. Arbitrary Constants. 3. Equations of the First Order and First Degree. 4. Equations in which the variables are separable. 5. Homogeneous function. 6. A test for homogeneity of a function of X and Y. 7. Homogeneous equations. 8. Equations reducible to a homogeneous form. 9. Linear differential equations. 10. Equations reducible to linear form. 11. Exact differential equations. 12. Condition that an equation of First Order and First Degree be exact. 13. Solution of an exact differential equation. 14. Integrating factor. 15. Integrating factor by inspection. 16. Rules for finding out integrating factors. 17. Change of variables. II. Different equations of the First Order but not of the First Degree 18. Types of such equations. 19. Equations solvable for p. 20. Equations solvable for Y. 21. Equations solvable for X. 22. Clairaut's equation. III. Singular solutions and Orthogonal Trajectories 23. Singular solution. 24. Determination of Singular solution. 25. Particular case. 26. Trajectories. 27. Orthogonal Trajectory. 28. Differential equation of Orthogonal Trajectories. IV. Linear differential equations with constant coefficients 29. Definition. 30. Theorem 1. 31. Theorem 2. 32. Theorem 3. 33. Complementary function. 34. The symbol D. 35. Auxiliary equation having equal roots. 36. Auxiliary equation having imaginary roots. 37. The particular integral. 38. Shorter methods of finding particular integrals in certain special cases. V. Miscellaneous differential equations 39. Homogeneous linear equations. 40. Equations reducible to homogeneous linear form. 41. Simultaneously linear differential equations with constant coefficients. The present book Differential equations provides a detailed account of the equations of First Order and First Degree Singular solutions and Orthogonal Trajectories Linear differential equations with constant coefficients and other miscellaneous differential equations. The numerous high graded solved examples provided in the book have been mainly taken from the authoritative textbooks and question papers of various university and competitive examinations which will facilitate easy understanding of the various skills necessary in solving the problems. In addition these examples will acquaint the readers with the type of questions usually set at the examinations. Furthermore practice exercises of multiple varieties have also been given believing that they will help in quick revision and in gaining confidence in the understanding of the subject. Answers to these questions have been verified thoroughly. It is hoped that a through study of this book would enable the students of Mathematics to secure high marks in the examinations. Besides students the teachers of the subject would also find it useful in elucidating concepts to the students by following a number of possible tracks suggested in the book. 215 pp. Bookseller Inventory # 60912

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Bibliographic Details

Title: Differential Equations

Publisher: Atlantic, New Delhi

Publication Date: 2006

Binding: Hardbound

Book Condition:As New

Edition: New

About this title

Synopsis:

The present book Differential Equations provides a detailed account of the equations of First Order and the First Degree, Singular Solutions and Orthogonal Trajectories, Linear Differential Equations with Constant Coefficients and other miscellaneous Differential Equations. It is primarily designed for B.Sc and B.A. Courses, elucidating all the fundamental concepts in a manner that leaves no scope for illusion or confusion. The numerous high-graded solved examples provided in the book have been mainly taken from the authoritative textbooks and question papers of various university and competitive examinations which will facilitate easy understanding of the various skills necessary in solving the problems. In addition, these examples will acquaint the readers with the type of questions usually set at the examinations. Furthermore, practice exercises of multiple varieties have also been given, believing that they will help in quick revision and in gaining confidence in the understanding of the subject. Answers to these questions have been verified thoroughly. It is hoped that a thorough study of this book would enable the students of Mathematics to secure high marks in the examinations. Besides students, the teachers of the subject would also find it useful in elucidating concepts to the students by following a number of possible tracks suggested in the book.

About the Author:

Hari Kishan is Senior Reader in Mathematics at Kishori Raman Postgraduate College, Mathura, affiliated to Dr. Bhim Rao Ambedkar University, Agra. He has 34 years of teaching experience of degree classes to his credit. He completed his M.Sc. from B.S.A. College, Mathura in 1971 and obtained a record percentage of marks for which he was awarded Gold Medal by Agra University. He received Ph.D. degree in Mathematics (Fluid Dynamics) in 1981 from the same university. His topic of research was 'Flow of Homogeneous or Stratified Viscous Fluids.' He has got published numerous research papers in several mathematical journals of repute. Besides, he is a well-known author of a large number of books on Mathematics, including A Textbook of Vector Algebra and Vector Calculus, Trigonometry, Differential Calculus, Integral Calculus, Coordinate Geometry of Two Dimensions, Coordinate Geometry of Three Dimensions, Matrices, Modern Algebra, Theory of Equations, Dynamics, Statics, Hydro Statics, Real Analysis, Numerical Analysis and Sure Success in Convergence.

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