Before we begin!
I would like to give a special thank you to:
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Guy Kember, Professor of Engineering Mathematics at Dalhousie University
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Karsten Economou, Graduate Researcher at the Department of Engineering Mathematics & Internetworking at Dalhousie University
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Hossein Mostafavi Sani, Graduate Mechanical Engineering at Dalhousie University
For their contributions in Mathematical education, and provision of knowledge for this wiki tree. The following notes are my second year class notes for Applied Differential Equations, and I hope you may find them helpful!
These notes will be updated periodically, and put in order of what I believe to be most helpful.
First Order Systems
- First Order LTI Models
- First Order LTI Models, solved using Method of Undetermined Coefficients
- First Order LTI Models, MUC Method cont. Multiple Yp’s
Second Order Systems
- Explanation of Yh in Second Order Systems
- Explanation of Yp (Oscillator Guesses) in Second Order Systems, Using the Auxiliary method
- (if you do not have oscillators, you can just make a regular Yp guess, as was done with first order LTI
- Worked Out Yp & Yh Examples