Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Use the Laplace transform to solve the given initial value problem. y" + 4y' + 13y = e-2# sin3t, y(0) = 3, y (0) = 2 °y = 3e-2 cos3t + 25 -2t -e 1 -2º cos(3t) sin3t – -te %3D 18 18 3 25 -2t cos(3t) + -2ª sin(3t) 18 y = -e 19 25 -2' sin3t – ÷te-"cos(3t) 18 1 y = 3e-cos3t +e y = 3e-"cos3t +e-" sin3t - że 25 -2t 1 cos(3t) -2t 18
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Transcribed Image Text:Use the Laplace transform to solve the given initial value problem. y" + 4y' + 13y = e-2# sin3t, y(0) = 3, y (0) = 2 °y = 3e-2 cos3t + 25 -2t -e 1 -2º cos(3t) sin3t – -te %3D 18 18 3 25 -2t cos(3t) + -2ª sin(3t) 18 y = -e 19 25 -2' sin3t – ÷te-"cos(3t) 18 1 y = 3e-cos3t +e y = 3e-"cos3t +e-" sin3t - że 25 -2t 1 cos(3t) -2t 18
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