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

Published by Pearson (January 15, 1968) © 1968

  • Robert D. Strum
  • John R. Ward
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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.



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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