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by J. B. Tatum
jtatum@uvic.ca



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Integrals and Differential Equations

Integrals and Differential Equations (last updated: 2019 August 27)


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

3.1Preamble
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

Appendix A    Examples and Answers

Appendix B    Worked Solutions




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