Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.
We check out first that this satisfies the properties of being Euler equation, those descending powers on x, (x2, x, and a constant), (x2, x1, x0).0793
Remember it got to fit that format exactly to be an Euler equation, if it does not fit that format then you are really out of luck, you got to use some other techniques which certainly be more complicated.0805
It is worth checking if something is an Euler equation if so, these things are real pretty quick to solve.0817
If not then you got to have to do something that is probably be much more lengthy.0823
Since this one does work, we read off our α as -6, our β is 12, and we set up our characteristic equation.0827
Written from the perspective of the applied mathematician, the latest edition of this bestselling book focuses on the theory and practical applications of Differential Equations to engineering and the sciences. Emphasis is placed on the methods of solution, analysis, and approximation.
This complete introduction to both differential equations and linear algebra presents a carefully balanced and sound integration of the two topics. It explains concepts clearly and logically with an abundance of examples and illustrations, without sacrificing level or rigor.
Authors: Paul Blanchard, Robert L. Devaney, Glen R. Hall
Publisher: Brooks Cole
Incorporating an innovative modeling approach, this book for a one-semester differential equations course emphasizes conceptual understanding to help users relate information taught in the classroom to real-world experiences. Certain models reappear throughout the book as running themes to synthesize different concepts from multiple angles, and a dynamical systems focus emphasizes predicting the long-term behavior of these recurring models.
This effective and practical new edition continues to focus on differential equations as a powerful tool in constructing mathematical models for the physical world. Each chapter introduces a model and then goes on to look at solutions of the differential equations involved using an integrated analytical, numerical, and qualitative approach.