38 lines
2.5 KiB
Markdown
38 lines
2.5 KiB
Markdown
# This is the main index
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These are notes for the [University of Alberta MATH 201 - Differential Equations](https://apps.ualberta.ca/catalogue/course/math/201) course.
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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.
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</br>
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Good luck on the final! <3
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If we do bad on the exam, Petar will come after us with the Dirac delta 🤜💥
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</br>
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[Separable equations (lec 1)](separable-equations-lec-1.html)
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[Homogenous equations (lec 2)](homogenous-equations-lec-2.html)
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[Linear equations (lec 2-3)](linear-equations-lec-2-3.html)
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[Bernoulli equations (lec 3)](bernoulli-equations-lec-3.html)
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[Linear coefficient equations (lec 4)](linear-coefficient-equations-lec-4.html)
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[Exact equations (lec 4-5)](exact-equations-lec-4-5.html)
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[Second order homogenous linear equations (lec 5-7)](second-order-homogenous-linear-equations-lec-5-7.html)
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[Method of undetermined coefficients (lec 8-9)](method-of-undetermined-coefficients-lec-8-9.html)
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[Variation of parameters (lec 9-10)](variation-of-parameters-lec-9-10.html)
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[Cauchy-Euler equations (lec 10-11)](cauchy-euler-equations-lec-10-11.html)
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[Reduction of order (lec 11)](reduction-of-order-lec-11.html)
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[Free vibrations (lec 11-12)](free-vibrations-lec-11-12.html)
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[Resonance & AM (lec 13-14)](resonance-am-lec-13-14.html)
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[Laplace transform (lec 14-16)](laplace-transform-lec-14-16.html)
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[Solving IVP's using Laplace transform (lec 17-18)](solving-ivps-using-laplace-transform-lec-17-18.html)
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[(Heaviside) Unit step function (lec 18)](heaviside-unit-step-function-lec-18.html)
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[Periodic functions (lec 19)](periodic-functions-lec-19.html)
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[Convolution (lec 19-20)](convolution-lec-19-20.html)
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[Dirak δ-function (lec 21)](dirak-δ-function-lec-21.html)
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[Systems of linear equations (lec 21-22)](systems-of-linear-equations-lec-21-22.html)
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[Power series (lec 22-25)](power-series-lec-22-25.html)
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[Separation of variables & Eigen value problems (lec 26-28)](separation-of-variables-eigen-value-problems-lec-26-28.html)
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[Fourier series (lec 28-29)](fourier-series-lec-28-29.html)
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[Heat equation (lec 30-33)](heat-equation-lec-30-33.html)
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[Wave equation (lec 33-36)](wave-equation-lec-33-36.html)
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</br>
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[How to solve any DE, a flow chart](Solve-any-DE.png) (Last updated Oct 1st, needs revision. But it gives a nice overview.)
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[Big LT table (.png)](drawings/bigLTtable.png)
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[Small LT table (.png)](drawings/smallLTtable.png)
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