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These are notes for the University of Alberta MATH 201 - Differential Equations course.
I have written these notes for myself, I thought it would be cool to share them. These notes may be inaccurate, incomplete, or incoherent. No warranty is expressed or implied. Reader assumes all risk and liabilities.
Good luck on the final! <3
If we do bad on the exam, Petar will come after us with the Dirac delta 🤜💥
Separable equations (lec 1)
Homogenous equations (lec 2)
Linear equations (lec 2-3)
Bernoulli equations (lec 3)
Linear coefficient equations (lec 4)
Exact equations (lec 4-5)
Second order homogenous linear equations (lec 5-7)
Method of undetermined coefficients (lec 8-9)
Variation of parameters (lec 9-10)
Cauchy-Euler equations (lec 10-11)
Reduction of order (lec 11)
Free vibrations (lec 11-12)
Resonance & AM (lec 13-14)
Laplace transform (lec 14-16)
Solving IVP's using Laplace transform (lec 17-18)
(Heaviside) Unit step function (lec 18)
Periodic functions (lec 19)
Convolution (lec 19-20)
Dirak δ-function (lec 21)
Systems of linear equations (lec 21-22)
Power series (lec 22-25)
Separation of variables & Eigen value problems (lec 26-28)
Fourier series (lec 28-29)
Heat equation (lec 30-33)
Wave equation (lec 33-36)
[How to solve any DE, a flow chart](Solve-any-DE.png) (Last updated Oct 1st, needs revision. But it gives a nice overview.) [Big LT table (.png)](drawings/bigLTtable.png) [Small LT table (.png)](drawings/smallLTtable.png)