Physics - Integrals

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Integrals and Differential Equations (last updated: 2022 July 14)

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

Appendix A    Examples and Answers

Appendix B    Worked Solutions