Transcription of Differential Equations for Engineers
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Differential Equations for Engineers
Differential Equations for Engineers Lecture Notes for Jeffrey R. Chasnov The Hong Kong University of Science and Technology Department of Mathematics Clear Water Bay, Kowloon Hong Kong Copyright . c 2019 by Jeffrey Robert Chasnov This work is licensed under the Creative Commons Attribution Hong Kong License. To view a copy of this license, visit or send a letter to Creative Commons, 171 Second Street, Suite 300, San Francisco, California, 94105, USA. Preface View the promotional video on YouTube These are my lecture notes for my online Coursera course, Differential Equations for Engineers . I. have divided these notes into chapters called Lectures, with each Lecture corresponding to a video on Coursera.
Some analysis (not shown here) on the second-order Runge-Kutta methods results in the constraints a +b = 1, ab = bb = 1/2. Write down the second-order Runge-Kutta methods corresponding to (i) a = b, and (ii) a = 0. These specific second-order Runge-Kutta methods are called the modified Euler method and the midpoint method, respectively.
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