Use the Laplace transform to solve the following initial value problem: y" – Ty' + 12y = 0, y(0) = -2, y'(0) = 2 y(t) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use the Laplace transform to solve the following initial value problem:

\( y'' - 7y' + 12y = 0 \),  
\( y(0) = -2 \),  
\( y'(0) = 2 \)  

\( y(t) = \) [input box]
Transcribed Image Text:Use the Laplace transform to solve the following initial value problem: \( y'' - 7y' + 12y = 0 \), \( y(0) = -2 \), \( y'(0) = 2 \) \( y(t) = \) [input box]
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