5. Use the Laplace transform to solve J²u J²u მt2 მე2 -x < x < ∞ ди u(x, 0) = sin x, (x, 0) = 0. Ət

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Please solve the following by hand and without the use of AI, Please use detailed mathematical expression to solve and explain each step as you go. Ensure the answer is correct please. Thank you!

5. Use the Laplace transform to solve
J²u
J²u
მt2
მე2
-x < x < ∞
ди
u(x, 0) = sin x,
(x, 0) = 0.
Ət
Transcribed Image Text:5. Use the Laplace transform to solve J²u J²u მt2 მე2 -x < x < ∞ ди u(x, 0) = sin x, (x, 0) = 0. Ət
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