Laplace transforms | Series Solutions | System of ODEs | Differential Equations | Review 3

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This is the third of a series of reviews for a complete differential equation course.

Topics line up
1) Series Solution Method 0:00
2) Laplace transform method 42:06
a) Find Laplace transform and Inverse Laplace transform 45:11 & 56:47
b) Solving Diff. Equations 1:19:23
c) Convolution method 1:33:08
d) Heaviside function and Switching 1:48:33
e) Dirac Delta function and Impulse response 2:09:50
3) System of ODEs 2:23:46
a) Elimination method 2:26:22
b) Laplace transform method 2:41:36
c) Eigenvectors method 2:52:25

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Thank you for watching!

#FinalExamReview #DifferentialEquations #Mathematics
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Topics line up
1) Series Solution Method 0:00
2) Laplace transform method 42:06
a) Find Laplace transform and Inverse Laplace transform 45:11 & 56:47
b) Solving Diff. Equations 1:19:23
c) Convolution method 1:33:08
d) Heaviside function and Switching 1:48:33
e) Dirac Delta function and Impulse response 2:09:50
3) System of equations 2:23:46
a) Elimination method 2:26:22
b) Laplace transform method 2:41:36
c) Eigenvectors method 2:52:25


uditakatugampola
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I just want to say thank you so much for this. It is really one of the few quality examples of the full curriculum of Ordinary Differential Equations on YouTube. I hope you get many more views, and I will be recommending this series of videos to all my peers.

coletongross
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These are all the topics in these reviews


Review 2 (2nd order differential equations)

Review 3 (Series solution, Laplace transform, Systems)
Series Solution Method
Finding series solution 0:00
Laplace transform method
Definition 42:06
Find the Laplace transform and Inverse Laplace transform 45:11 & 56:47
Solving Diff. Equations 1:19:23
Convolution method 1:33:08
Heaviside function and Switching 1:48:33
Dirac Delta function and Impulse response 2:09:50
System of equations 2:23:46
Elimination method 2:26:22
Laplace transform method 2:41:36
Eigenvectors method 2:52:25 (We use the shortcut method)

Good luck with all your exams!

MathTutor
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On 2:02 - How did you emerge the common denominator to S^2 instead os S^3 ? and how did we get on the nominator 3s + 3 . It is algebra and i find difficulty sometimes to understand. Can you explain please. And thank you for this amazing video !

a.alkhadhar