Physics - Integrals

Physics topics

Home

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

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

Chapter 3 Differential Equations of Order 2

3.1	Preamble
3.2	The Operator D
3.3	The Operator D^-1
3.4	The 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, ẋ, ẏ

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