Differential Equations
Differential Equations
4th Edition
ISBN: 9780495561989
Author: Paul Blanchard, Robert L. Devaney, Glen R. Hall
Publisher: Cengage Learning
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Chapter 6.3, Problem 11E

In Exercises 11-14, write the given quadratic in the form ( s + α ) 2 + β 2 (that is, complete the square).

   11.     s 2 + 2 s + 10

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Chapter 6 Solutions

Differential Equations

Ch. 6.1 - In Exercises 1-4, compute the Laplace transform of...Ch. 6.1 - In Exercises 1-4, compute the Laplace transform of...Ch. 6.1 - In Exercises 1-4, compute the Laplace transform of...Ch. 6.1 - Verify that L[tn]=n!sn+1(s0) [Hint: A rigorous...Ch. 6.1 - Using L[tn]=n!sn+1(s0) give a formula for the...Ch. 6.1 - In Exercises 7-14, find the inverse Laplace...Ch. 6.1 - Prob. 8ECh. 6.1 - Prob. 9ECh. 6.1 - Prob. 11ECh. 6.1 - Prob. 13E
Ch. 6.1 - In Exercises 15-24 (a) compute the Laplace...Ch. 6.1 - In Exercises 15-24 (a) compute the Laplace...Ch. 6.1 - Prob. 25ECh. 6.2 - In Exercises 8-13, solve the given initial-value...Ch. 6.3 - Prob. 3ECh. 6.3 - Prob. 5ECh. 6.3 - Prob. 7ECh. 6.3 - In Exercises 11-14, write the given quadratic in...Ch. 6.3 - In Exercises 1518 , compute the inverse Laplace...Ch. 6.3 - In Exercises 2734 (a) compute the Laplace...Ch. 6.3 - Prob. 29ECh. 6.3 - In Exercises 27-34 (a) compute the Laplace...Ch. 6.5 - Prob. 1ECh. 6.5 - Prob. 2ECh. 6.5 - In Exercises 14, compute the convolution f*g for...Ch. 6.5 - In Exercises 14, compute the convolution f*g for...Ch. 6.5 - Prob. 5E
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