Diffrential Equations

What you'll learn

Solving first order ordinary differential equation using various methods
Solving second order differential equation
Operator method to solve second order differential equation and find particular solution
solving system of first order differential equations

Requirements

Knowledge of basic calculus , like limits , derivatives , differentiation techniques , definite and indefinite integration

Description

Course Title: Methods to Solve First and Second Order Differential Equations & Systems of First-Order EquationsDifferential equations play a fundamental role in mathematics, physics, engineering, and numerous real-world applications. This course is designed to provide a comprehensive understanding of first and second-order differential equations, covering various solution techniques essential for students, researchers, and professionals.We begin with an introduction to first-order differential equations, exploring methods such as separation of variables, integrating factors, and exact equations.Moving on to second-order differential equations, we delve into homogeneous and non-homogeneous cases. The course covers characteristic equations, the method of undetermined coefficients, and variation of parameters.The final section of the course introduces systems of first-order differential equations, an essential topic for modelling complex dynamic systems.Each module is structured with step-by-step explanations, worked-out examples, and problem-solving exercises to reinforce learning. By the end of the course, you will be equipped with analytical techniques to confidently solve first and second-order differential equations and apply them to various scientific and engineering disciplines.Whether you're a student, engineer, or researcher, this course will help you confidently tackle differential equation problems and apply them to real-world scenarios.Join us in mastering these essential mathematical tools and take your problem-solving skills to the next level!

Who this course is for

All engineering disciplines
Bsc , MSc students
Statistics and data science
Finance and actuarial sciences
Homepage:

https://www.udemy.com/course/first-order-and-second-order-linear-differential-equations/