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QUESTION 3 After we apply the Laplace transform to the equation y"+2y'+2y=e²2, given the initial conditions y(0) = 0, y'(0) = 1, we obtain the following 1 O O L {y}=- + S-2 L {y}= L {y}= L {y} = 1 S-2 1 s+1 1 10 s-2 + -1 2 + -s+ 5 s²+2s+2 5 -s+2 s²-25+2 S s²+2s+2 10 -S- 2 5 s²+25+2

QUESTION 3 After we apply the Laplace transform to the equation y"+2y'+2y=e²2, given the initial conditions y(0) = 0, y'(0) = 1, we obtain the following 1 O O L {y}=- + S-2 L {y}= L {y}= L {y} = 1 S-2 1 s+1 1 10 s-2 + -1 2 + -s+ 5 s²+2s+2 5 -s+2 s²-25+2 S s²+2s+2 10 -S- 2 5 s²+25+2

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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QUESTION 3 After we apply the Laplace transform to the equation y"+2y'+2y=e2, given the initial conditions y (0) = 0, y'(0) = 1, we obtain the following 1 5 S-2 O O L {y}= L {y}= L {y}= L {y} = 1 S-2 1 s+1 + + 1 10 s-2 -1 2 5 5 s²+2s+2 + -s+2 s²-2s+2 s²+2s+2 -1 2 10 5 s²+25+2
Transcribed Image Text:QUESTION 3 After we apply the Laplace transform to the equation y"+2y'+2y=e2, given the initial conditions y (0) = 0, y'(0) = 1, we obtain the following 1 5 S-2 O O L {y}= L {y}= L {y}= L {y} = 1 S-2 1 s+1 + + 1 10 s-2 -1 2 5 5 s²+2s+2 + -s+2 s²-2s+2 s²+2s+2 -1 2 10 5 s²+25+2
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