Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Solve the system of equations using Laplace
2+2x = 1
d+-3x - 3y = 2
x(0) = y(0) = 0
dt
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Transcribed Image Text:Solve the system of equations using Laplace 2+2x = 1 d+-3x - 3y = 2 x(0) = y(0) = 0 dt
Expert Solution
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Step 1: Given system

Given space the space system space of space equations
2 dx over dt plus dy over dt minus 2 straight x space equals space 1 space....... left parenthesis straight i right parenthesis
dx over dt plus dy over dt minus 3 straight x space minus 3 straight y space equals space 2 space....... left parenthesis ii right parenthesis
and space straight x open parentheses 0 close parentheses space equals space straight y open parentheses 0 close parentheses space equals space 0 space...... left parenthesis iii right parenthesis

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