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On Differential Equations
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An introduction to differential equations and associated numerical methods.
Chapters:
0:00 Open
0:07 Definition
1:22 Blobs
2:46 Slope Field
3:47 Euler's Method
4:24 Python Implementation
4:27 Error
5:00 Adaptive Method
5:24 Huen's Method
6:13 RK4
7:15 Integration Perspective
8:15 Taylor Polynomials
10:12 Separation of Variables
11:00 Exact
12:16 Partial Derivatives
12:54 Striking Similarity
13:21 Clairaut theorem
14:17 Solution Method
14:54 Thanks For Watching
Music Used:
Patrick Patrikios - Feels
GameChops - Route 113
GameChops - Pokémon League
GameChops - Lavender Town
Corrections:
At 7:50, the f(x) should be replaced with f'(x). We are integrating the blue curve from a to b to find the change in the red curve from a to b.
Helpful Resources:
Citations:
Tags: Differential Equations, Euler's Method, Huen's Method, RK4, Taylor Series, Separation of Variables, Exactness, Clairaut Theorem
Chapters:
0:00 Open
0:07 Definition
1:22 Blobs
2:46 Slope Field
3:47 Euler's Method
4:24 Python Implementation
4:27 Error
5:00 Adaptive Method
5:24 Huen's Method
6:13 RK4
7:15 Integration Perspective
8:15 Taylor Polynomials
10:12 Separation of Variables
11:00 Exact
12:16 Partial Derivatives
12:54 Striking Similarity
13:21 Clairaut theorem
14:17 Solution Method
14:54 Thanks For Watching
Music Used:
Patrick Patrikios - Feels
GameChops - Route 113
GameChops - Pokémon League
GameChops - Lavender Town
Corrections:
At 7:50, the f(x) should be replaced with f'(x). We are integrating the blue curve from a to b to find the change in the red curve from a to b.
Helpful Resources:
Citations:
Tags: Differential Equations, Euler's Method, Huen's Method, RK4, Taylor Series, Separation of Variables, Exactness, Clairaut Theorem
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