TRANSIENT solution, that is it should decay as time increases. This happens only when K is NEGATIVE and the solution comes out to be (C cospx + c sinpx) (c e-c2 p2 t).

"> TRANSIENT solution, that is it should decay as time increases. This happens only when K is NEGATIVE and the solution comes out to be (C cospx + c sinpx) (c e-c2 p2 t).

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When solving a 1-Dimensional heat equation using a variable separable method, we get the solution if ______________

Partial Differential Equations Solution of PDE by Variable Separation Method in Partial Differential Equations 3 months ago

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Since this is a heat equation, the solution must be a TRANSIENT solution, that is it should decay as time increases. This happens only when K is NEGATIVE and the solution comes out to be (C cospx + c sinpx) (c e-c2 p2 t).

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Posted on 24 Jun 2025, this text provides information on Partial Differential Equations related to Solution of PDE by Variable Separation Method in Partial Differential Equations. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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