YoVDO

Differential Equations - By Substitution

Offered By: blackpenredpen via YouTube

Tags

Differential Equations Courses Calculus Courses Homogeneous Differential Equations Courses

Course Description

Overview

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

Related Courses

Scientific Computing
University of Washington via Coursera
Differential Equations in Action
Udacity
Initiation à la théorie des distributions
École Polytechnique via Coursera
Everything is the Same: Modeling Engineered Systems
Northwestern University via Coursera
Analyse numérique pour ingénieurs
École Polytechnique Fédérale de Lausanne via Coursera