This course covers the following topics: Introduction to 2nd Order Differential Equations, solving linear ordinary differential equations, identifying linear ODEs, solving elementary ODEs of second order and higher, the linear differential operator, linearly independent solutions, the Wronskian test, homogeneous linear ODEs with constant coefficients and real roots, homogeneous linear ODEs with constant coefficients and complex roots, non-homogeneous ODEs using the method of undetermined coefficients and the method of variation of parameters. The course aims to teach students how to solve various types of differential equations and enhance their understanding of differential operators and linear algebraic methods. The intended audience for this course includes students and professionals interested in advancing their knowledge of differential equations and their applications.
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
