Dive into the world of second-order differential equations in this comprehensive 90-minute video tutorial. Master the art of solving linear ordinary differential equations (ODEs) through a series of 22 lessons. Begin with an introduction to second-order ODEs and progress through identifying linear ODEs, solving elementary ODEs of higher orders, and understanding the linear differential operator. Explore linearly independent solutions and the Wronskian test, tackle homogeneous linear ODEs with constant coefficients and both real and complex roots, and delve into non-homogeneous ODEs using the methods of undetermined coefficients and variation of parameters. Gain a solid foundation in differential equations and enhance your problem-solving skills with numerous examples and in-depth explanations.
Overview
Syllabus
01 - Intro to 2nd Order Differential Equations - Learn to Solve Linear ODEs.
Lesson 2 - Identifying Linear Ordinary Differential Equations.
Lesson 3 - Solving Elementary ODEs Of Second Order And Higher.
Lesson 4 - The Linear Differential Operator (Differential Equations).
Lesson 5 - Linearly Independent Solutions and the Wronskian Test.
Lesson 6 - Wronskian Problems (Differential Equations).
Lesson 7 - Homogeneous Linear ODEs w/ Constant Coefficients & Real Roots, Part 1.
Lesson 8 - Homogeneous Linear ODEs w/ Constant Coefficients & Real Roots, Part 2.
Lesson 9 - Homogeneous Linear ODEs w/ Constant Coefficients & Real Roots, Part 3.
Lesson 10 - Homogeneous Linear ODEs w/ Constant Coefficients & Complex Roots, Part 1.
Lesson 11 - Homogeneous Linear ODEs w/ Constant Coefficients & Complex Roots, Part 2.
Lesson 12 - Homogeneous Linear ODEs w/ Constant Coefficients & Complex Roots, Part 3.
Lesson 13 - Non-Homogeneous ODEs Method Of Undetermined Coefficients, Part 1.
Lesson 14 - Non -Homogeneous ODEs Method Of Undetermined Coefficients, Part 2.
Lesson 15 - Non-Homogeneous ODEs Method Of Undetermined Coefficients, Part 3.
Lesson 16 - Non-Homogeneous ODEs Method Of Undetermined Coefficients, Part 4.
Lesson 17 - Non-Homogeneous ODEs Method Of Undetermined Coefficients, Part 5.
Lesson 18 - Non -Homogeneous ODEs Method Of Undetermined Coefficients, Part 6.
Lesson 19 - Non-Homogeneous ODEs Method Of Variation Of Parameters, Part 1.
Lesson 20 - Non-Homogeneous ODEs Method Of Variation Of Parameters, Part 2.
Lesson 21 - Non-Homogeneous ODEs Method Of Variation Of Parameters, Part 3.
Lesson 22 - Non-Homogeneous ODEs Method Of Variation Of Parameters, Part 4.
Taught by
mathandscience
