Linear Circuits 1 - 24 - Differential Equations

Using Differential Equations to Solve Circuits with Inductors and Capacitors
Free tutorial
Rating: 4.6 out of 5 (31 ratings)
1,357 students
1hr 10min of on-demand video
English [Auto]

What are differential equations?
Why are differential equations important for linear circuits?
Why do all linear circuit differential equations behave the same way?


  • High School or College Physics
  • Calculus 1 Would Be Extremely Helpful


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.

Who this course is for:

  • Beginner Engineering and Physics Students


2019 ASEE Engineering Professor of the Year
Mark Budnik
  • 4.7 Instructor Rating
  • 4,574 Reviews
  • 81,694 Students
  • 31 Courses

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.

Brandt Professor of Engineering, Valparaiso University
Mark M. Budnik
  • 4.7 Instructor Rating
  • 4,527 Reviews
  • 81,691 Students
  • 30 Courses

Mark M. Budnik is the Paul H. Brandt Professor of Engineering at Valparaiso University. He received his bachelor of science degree in electrical engineering from the University of Illinois and his master of science and doctoral degrees in electrical engineering from Purdue University.

Prior to joining the faculty at Valparaiso University in 2006, Mark worked in the semiconductor industry, culminating as a Staff Engineer and the Director of White Goods and Motor Control at Hitachi Semiconductor. In these roles, he had a unique opportunity to work closely with a diverse customer base to identify and establish a number of best practices in embedded systems education.

In his career, he received multiple educational awards from academia and industry including ST Microelectronics, National Semiconductor, Hitachi Semiconductor, Valparaiso University, and the American Society for Engineering Education (ASEE). Most recently, Mark was an ASEE Section Outstanding Teacher of the Year and a finalist for the 2015 ASEE National Outstanding Teaching Award.

Mark is the author of more than fifty book chapters, journal articles, and conference proceedings and the recipient of five best paper/presentation awards. He is a Senior Member of the IEEE and a Fellow of the International Symposium on Quality Electronic Design.

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