Laplace Transform Solution Of Differential Equations: A Programmed Text, 1st edition

Published by Pearson (January 15, 1968) © 1969

  • Robert D. Strum
  • John R. Ward
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Title overview

Signals Systems. Linear Systems.

This programmed text intended for both class and self-study, consists of an introduction to the Laplace transform solution of ordinary differential equations. As such, it has been designed to lay down a firm foundation for the study of dynamic systems, with example problems drawn from various fields of engineering. Essential prerequisites are a course in the calculus, the ability to solve simultaneous algebraic equations by determinants, and a knowledge of complex numbers.

Table of contents

  • Pretest
  • 1. Introduction to the Laplace Transform
  • 2. Laplace Transform of the First Derivative
  • 3. Solution of Circuit Problem I
  • 4. Solution of Circuit Problem II
  • 5. A Leaky Reservoir
  • 6. Laplace Transform of the Second Derivative
  • 7. A Problem in Mechanics
  • 8. Laplace Transform of the Definite Integral
  • 9. Solution of Circuit Problem III
  • 10. Some Review Items
  • 11. Response of a Series LRC Circuit to a Ramp Input
  • 12. Airplane Roll Response
  • 13. Mass-Spring-Damper, Again
  • 14. A Section of Review
  • 15. Heating an Oven
  • 16. The Last Theorem
  • 17. Parallel LRC with Repeated Roots
  • 18. Automobile Fluid-Coupled Transmission
  • 19. A Final Review
  • 20-22. Practice Problems
  • A Sample Examination

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