Youtor
On Differential Equations
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=ZWq_q2yGNwQ
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: • https://brilliant.org/wiki/differenti... • https://www.johndcook.com/blog/2020/0... • https://www.phys.uconn.edu/~rozman/Co... • Citations: • The Manim Community Developers. (2022). Manim – Mathematical Animation Framework (Version v0.16.0) [Computer software]. https://www.manim.community/ • Tags: Differential Equations, Euler's Method, Huen's Method, RK4, Taylor Series, Separation of Variables, Exactness, Clairaut Theorem
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