- y"+10y'+25y=0y(0)=0_y"(0) = 10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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For Problems 12 and 14, use the Laplace transform to solve the given initialvalue problem. 

The correct answer for 12: 10 te^(-5t)

The correct answer for 14: -(1/2)sint + 2cost - (1/2)tcost. Please show how to get the correct answer for 12 and 14. thank you

y"(0) = 10
y(0)=1 y'(0) = 2
y(0)=2 y'(0)=-1
12. y" + 10y' + 25y = 0y(0)=0
13. y" + 3y' + 2y=6
14. y"+y = sin t
Transcribed Image Text:y"(0) = 10 y(0)=1 y'(0) = 2 y(0)=2 y'(0)=-1 12. y" + 10y' + 25y = 0y(0)=0 13. y" + 3y' + 2y=6 14. y"+y = sin t
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