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Given the following differential equation and its initial conditions y" - 3 y' + 2y = e with y(0) = 1 and y'(0) = 0 1. Apply Laplace Transformations to each part of the differential equation. 2. Solve your new equation for "Y(s)" 3. Convert your answer back into "y(t)" ® (1) = -* 17 31 3 12 B() %3D 3. © »() - - " + 17 26 -2r 20 O (1) = - 2 + E y(1) = 11e+ + 20e-3 4 et 5 20

Given the following differential equation and its initial conditions y" - 3 y' + 2y = e with y(0) = 1 and y'(0) = 0 1. Apply Laplace Transformations to each part of the differential equation. 2. Solve your new equation for "Y(s)" 3. Convert your answer back into "y(t)" ® (1) = -* 17 31 3 12 B() %3D 3. © »() - - " + 17 26 -2r 20 O (1) = - 2 + E y(1) = 11e+ + 20e-3 4 et 5 20

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given the following differential equation and its initial conditions y" - 3 y' + 2y = e with y(0) = 1 and y'(0) = 0 1. Apply Laplace Transformations to each part of the differential equation. 2. Solve your new equation for "Y(s)" 3. Convert your answer back into "y(t)" 17 () = 4 3 12 B() e + 3. %3D 17 26 O()= -+ -2r + 20 O (1) = - 2e + E y(1) = 11e+ + 20e-3 4 () 5 20
Transcribed Image Text:Given the following differential equation and its initial conditions y" - 3 y' + 2y = e with y(0) = 1 and y'(0) = 0 1. Apply Laplace Transformations to each part of the differential equation. 2. Solve your new equation for "Y(s)" 3. Convert your answer back into "y(t)" 17 () = 4 3 12 B() e + 3. %3D 17 26 O()= -+ -2r + 20 O (1) = - 2e + E y(1) = 11e+ + 20e-3 4 () 5 20
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