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2. 2x' – 3y + y' = 0; x' + y' = t;x(0) = y(0) = 0 %3D

2. 2x' – 3y + y' = 0; x' + y' = t;x(0) = y(0) = 0 %3D

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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Use the Laplace transform to solve the initial value problem. 2. 2x' – 3y + y' = 0; x' + y' = t; x(0) = y(0) = 0 3. x' + 2y' – y = 1; 2x' + y = 0; x(0) = y(0) = 0 4. x' + y' – x = cos(t);x' + 2y' = 0; x(0) = y(0) = 0 5. 3x' – y = 2t;x' + y' – y = 0; x(0) = y(0) = 0
Transcribed Image Text:Use the Laplace transform to solve the initial value problem. 2. 2x' – 3y + y' = 0; x' + y' = t; x(0) = y(0) = 0 3. x' + 2y' – y = 1; 2x' + y = 0; x(0) = y(0) = 0 4. x' + y' – x = cos(t);x' + 2y' = 0; x(0) = y(0) = 0 5. 3x' – y = 2t;x' + y' – y = 0; x(0) = y(0) = 0
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