This course covers the Existence & Uniqueness Theorem in differential equations. By the end of the course, students will be able to verify solutions to various differential equations, understand when a differential equation has no real-valued solution, and apply the Existence & Uniqueness Theorem. The course teaches skills such as verifying solutions to differential equations and understanding the properties of second-order differential equations. The teaching method involves theoretical explanations followed by practical examples and exercises. This course is intended for learners interested in advanced mathematics and differential equations.
Differential Equations - Existence & Uniqueness Theorem
Overview
Syllabus
Verifying a solution to x''+x=0, Sect1.2#3.
Verifying a solution to a second order differential equation, Sect1.2#7.
Verifying a solution to a differential equation, Sect1.2#11.
a differential equation has no real valued solution, sect1.2#19.
Existence & Uniqueness Theorem, Ex1.
Existence & Uniqueness Theorem, Ex1.5.
Existence & Uniqueness Theorem, Ex2.
Existence & Uniqueness Theorem, Ex3.
Existence & Uniqueness Theorem, Ex3.5.
Verifying a solution to the differential equation y''+y=tan(x).
Taught by
blackpenredpen
