Physics topics

by J. B. Tatum


Stellar Atmospheres

Celestial Mechanics

Classical Mechanics

Geometric Optics

Electricity and Magnetism

Heat and Thermodynamics

Physical Optics

Max Fairbairn's Planetary Photometry

Integrals and Differential Equations

Quadric Surfaces

Integrals and Differential Equations (last updated: 2023 April 22)

Chapter 1    Integrals

Chapter 2    Differential Equations of Order 1

2.1Equations with separable variables.
2.2Homogeneous equations.
2.3Equations that can easily be made homogeneous.
2.4Equations that require a Brilliant Substitution.
2.5Equations solvable by means of an integrating factor.
2.6Bernoulli-type equations.
2.7Exact equations.

Chapter 3    Differential Equations of Order 2

3.2The Operator D
3.3The Operator D-1
3.4The Operator (D - a)-1

Chapter 4    Differential Equations of the Form ay'' + by' + cy = 0

Chapter 5    Differential equations of the form ay'' + by' + cy = f(x) and x2y'' + bxy' + cy = f(x)

Chapter 6    Simultaneous equations in x, y, ,

Chapter 7    Equations involving powers of the derivatives Clairaut’s equation

Chapter 13    Complex numbers

Chapter 14    Functions of a complex variable

Chapter 15    Differentiation of f(z)

Chapter 16    Integration of f(z)

Appendix A    Examples and Answers

Appendix B    Worked Solutions

Texts © 2000 - 2015 Dr. J. B. Tatum
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