5. Use the Laplace transform to solve 8² u 2 0² u Ət² u(x,0) = 0x²¹ =sinx, -∞ < x <∞ du -(x, 0) = 0. Ət

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Chapter2: Second-order Linear Odes
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Please help me to solve this partial differential question. The final answer is u(x,t)=sinx*cosct, however, I don't know the process to get to this solution. Thank you for the help.

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5. Use the Laplace transform to solve
8² u
8² u
Ət²
əx²
u(x,0) = sinx,
-∞ < x <∞
du
Ət
-(x,0) = 0.
Transcribed Image Text:5. Use the Laplace transform to solve 8² u 8² u Ət² əx² u(x,0) = sinx, -∞ < x <∞ du Ət -(x,0) = 0.
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