Explore the fundamentals of differential equations in this comprehensive video series. Learn to solve ordinary differential equations, starting with elementary equations and progressing to more complex topics. Master techniques such as separation of variables, variation of parameters, and solving exact differential equations. Understand the existence and uniqueness theorem, and discover how to graph ODEs. Apply your knowledge to real-world scenarios, including mixing problems, cooling applications, and electrical circuits. Gain a solid foundation in differential equations through clear explanations and practical examples.
Overview
Syllabus
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations..
Lesson 2 - Solving Elementary Differential Equations.
Lesson 3 - Separation Of Variables (Differential Equations).
Lesson 4 - First Order Linear ODEs Variation Of Parameters, Part 1.
Lesson 5 - First Order Linear ODEs Variation Of Parameters, Part 2.
Lesson 6 - Exact Differential Equations.
Lesson 7 - Existence And Uniqueness Theorem (Differential Equations).
Lesson 8 - Graphing ODEs (Differential Equations).
Lesson 9 - Applications of ODEs in Mixing (Differential Equations).
Lesson 10 - Applications of ODEs in Cooling (Differential Equations).
Lesson 11 - Applications of ODEs in Circuits, Part 1 (Differential Equations).
Lesson 12 - Applications of ODEs in Circuits, Part 2 (Differential Equations).
Taught by
mathandscience
