PROBLEM is 1-Dimensional wave equation, the solution should be periodic in nature. If K is a POSITIVE number, then the solution comes out to be (c7 epx c+e-px cc8)(c7 ept+e-ptc8) and if k is positive the solution comes out to be (ccos(px/c) + c SIN(px/c))(c cospt + c sinpt). Now, since it should be periodic, the solution is (ccos(px/c) + c sin(px/c))(c cospt + c sinpt).

"> PROBLEM is 1-Dimensional wave equation, the solution should be periodic in nature. If K is a POSITIVE number, then the solution comes out to be (c7 epx c+e-px cc8)(c7 ept+e-ptc8) and if k is positive the solution comes out to be (ccos(px/c) + c SIN(px/c))(c cospt + c sinpt). Now, since it should be periodic, the solution is (ccos(px/c) + c sin(px/c))(c cospt + c sinpt).

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When solving a 1-Dimensional wave equation using 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 the given PROBLEM is 1-Dimensional wave equation, the solution should be periodic in nature. If K is a POSITIVE number, then the solution comes out to be (c7 epx c+e-px cc8)(c7 ept+e-ptc8) and if k is positive the solution comes out to be (ccos(px/c) + c SIN(px/c))(c cospt + c sinpt). Now, since it should be periodic, the solution is (ccos(px/c) + c sin(px/c))(c cospt + c sinpt).

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Posted on 02 Jul 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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