Enroll in our First Order Differential Equations course and unlock the power to solve real-world problems through mathematical analysis, gaining valuable skills applicable across various fields of science and engineering.
What Will You Learn?
- Understand the fundamentals of differential equations and their significance.
- Explore the concept of the order and degree of differential equations.
- Master the art of solving first-order differential equations.
- Learn about separable variables and their applications.
- Gain insight into initial value problems and reducible equations.
- Explore the concepts of homogeneous and exact differential equations.
- Understand integrating factors and their role in solving differential equations.
Who Should Take The Course?
- Mathematics students seeking a clear understanding of differential equations.
- Engineers, physicists, and scientists needing to apply differential equations in their work.
- Individuals interested in mathematical problem-solving and real-world applications.
- Anyone looking to build a strong foundation in mathematical concepts.
Requirements
- A basic understanding of calculus is recommended but not mandatory.
- Access to a calculator and writing materials for practice.
- A passion for mathematics and a willingness to explore the world of differential equations.
Course Curriculum
-
- What is Differential Equation 00:01:00
- Examples of Differential Equations 00:03:00
- Order of a Differential Equation 00:05:00
- Degree of a Differential Equation 00:06:00
- Solution of Differential Equations 00:06:00
- Types of Solutions 00:07:00
- Formation of Differential Equations 00:05:00
- Separable Variables 1 00:11:00
- Separable Variables 2 00:13:00
- Initial Value problem (Separable Variables) 00:04:00
- Reducible to Separable Variable 1 00:09:00
- Reducible to Separable Variable 2 00:09:00
-
- Homogeneous Function 00:07:00
- Homogeneous Differential Equations (Examples1_2) 00:15:00
- Exact Differential Equations Definition 00:06:00
- Exact Differential Equations Example 1 00:08:00
- Exact Differential Equations Example 2 00:06:00
- Exact Differential Equations Example 3 _ 4 00:13:00
- Integrating Factors (Rule-1) 00:11:00
- Integrating Factor(Rule-2) 00:14:00
- Order Certificate 00:05:00
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