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by Dr. J. B. Tatum
tatumjb352@gmail.com



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Integrals and Differential Equations

2023 April 22
  • Chapter 1: Addition of several new integrals, with hints and solutions.
  • Chapter 13 (Complex Numbers) added.
  • Chapter 14 (Functions of a Complex Variable) added.
  • Chapter 15 (Differentiation of f(z)) added.
  • Chapter 16 (Integration of f(z)) added.
2022 July 14
  • Chapter 1: Some changes to the inverse hyperbolic functions and their integrals.
  • Chapter 1: Change in Hint to Problem 18.
  • Chapter 1: Additional alternative Solution 33.
  • Chapter 1: Sign changes in Solution 37 for e > 1
2020 November 13
  • Chapter 1: Addition of integrals 39 and 40.
2019 November 5
  • Chapter 1: A new section added, on Difficult Integrals.
2019 August 27
  • Chapter 1: One new integral (37), added, with hints and solutions.
  • Appendix A (Examples and Answers) added.
  • Appendix B (Worked Solutions) added.
2019 March 10
  • Chapter 1: Five new integrals (32-36), added, with hints and solutions.
2019 January 27
  • Chapter numbers added at head of every chapter.
  • Chapter 1: Integral 31 added to exercises.
  • Chapter 5: New material added.
  • Chapters 6 and 7 added.
2017 May 4
  • Chapter 3 (Differential Equations of Order 2) added.
  • Chapter 4 (Differential Equations of the Form ay'' + by' + cy = 0) added.
2017 April 14
  • Chapter 2: Page 9: Third equation: Position of the integration symbol changed.
  • Chapter 2: Page 14: Bernoulli‚Äôs equations: Line below the first equation: The words “an integer” replaced by “a number”.
2017 March 16
  • Chapter 1: Some improvements and corrections.
  • Chapter 2 (Differential Equations of First Order) added.
2015 December 22
  • Integration: Page 4: Corrections to case (iii). Thanks to Shubhankar Bhatt.
2015 March 25
  • Integration: Changes made to problems 21 and 24, and a few additional problems added.
  • Hints: A new file added giving hints to all of the problems.
2015 February 5
  • Integrals added.



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