please dont provide hand written solution Solve the system of equations using Laplace2+2x = 1d+-3x - 3y = 2x(0) = y(0) = 0dt

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Answered: Solve the system of equations using…

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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Question

please dont provide hand written solution

Solve the system of equations using Laplace
2+2x = 1
d+-3x - 3y = 2
x(0) = y(0) = 0
dt

Expert Solution

Step 1: Given system

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