- Agenda
- Review
- What If Resistance Changes Over Time?
- The Different Parts of a Differential Equation
- Writing a Second Order, Differential Equation
- Setting Up the Simplest Differential Equation - The Zero Input Response
- Finding the Characteristic Polynomial of a Differential Equation
- Finding the General Solution for a Differential Equation
- Example of Calculating the General Solution for a Differential Equation
- Example of Calculating the Specific Solution Based Upon the Initial Conditions
- What Does the Solution of a Differential Equation Mean???
- Solving the Same Differential Equation for a Different Set of Initial Conditions
- Special Cases of the Differential Equation General Solution
- Summary
- Solving a Linear Circuit with a Differential Equation, From Beginning to End
What you'll learn
- What are differential equations?
- Why are differential equations important for linear circuits?
- Why do all linear circuit differential equations behave the same way?
Description
Day 24 of Linear Circuits. One of the biggest stumbling blocks for sophomore engineering and physics students is the use of differential equations in our daily homework problems and exam questions. While an entire course on differential equations could last 30, 40, or 50 hours (or more!), we bring you the most important basics of what differential equations are, how they work, and why they are relevant to our linear circuit lessons. Perhaps most importantly, however, we discover that differential equations don't have to be that scary, and in fact, the solutions for all differential equations actually have a lot in common with each other. Don't be afraid - we'll take it step-by-step. : )
The material covers all of the lecture material from an twenty-fourth lecture in a traditional, sophomore-level linear circuits class.
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About the instructors
- 4.5 Calificación
- 95715 Estudiantes
- 31 Cursos
Mark Budnik
2019 ASEE Engineering Professor of the Year
Mark Budnik is a 30+ year veteran of the electronics industry and academia. He holds the position of Teaching Professor in the Electrical and Computer Engineering Department at Carnegie Mellon University. He has won numerous institution, regional, and national teaching awards including the 2019 American Society for Engineering Education Outstanding Teacher Medal and the 2015 Disney's Inspiring Brilliance Award.
Student feedback
Course Rating
Reviews
i wished you could cover more of the differential equation. getting more in-depth in deriving general form solution, writing, proofing different equations.
awesome