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YouTube

Differential Equations - By Substitution

blackpenredpen via YouTube

Overview

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Explore the technique of solving differential equations by substitution in this comprehensive video lecture. Delve into various forms of differential equations, including dy/dx=G(ax+by), homogeneous differential equations, and Bernoulli's differential equations. Learn to tackle complex problems step-by-step, from introductory concepts to advanced applications. Master the art of identifying and applying appropriate substitutions to simplify and solve equations. Enhance your calculus skills with practical examples, such as solving dy/dx=(x-y+5)^2 and y'*y''=y'''. Gain valuable insights into problem-solving strategies and deepen your understanding of differential equations through clear explanations and worked-out solutions.

Syllabus

Homogeneous Differential Equations, intro & example.
Differential equation in the form of G(ax+by), intro and example.
homogeneous differential equation, sect2.6#10.
Solve a differential equation by substitution: dy/dx=(x-y+5)^2 (answer on WolframAlpha).
Solve a differential equation by substitution: dy/dx=(x-y+5)^2.
Solving y'*y''=y'''.

Taught by

blackpenredpen

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