Laplace Equation Solution?


If the Laplace Equation is given as : d^2T/dx^2 + d^2T/dy^2 = 0

and that the solution of T(x,y) must satisfy the equation: e.g T = 2x +1, differentiating it twice wrt x and y would make the solution valid.

Then now if, d^2(k^1/2)/dx^2 + d^2(k^1/2)/dy^2 = 0

and T(x,y) = (k(x,y))^p*phi(x,y) ; T = k^p*phi

how do i determine the value of p so that phi satisfies the laplace equation?


You are reading an archived discussion.

Related Posts

hey ash i am mj ur project sounds awesome i am in final year electronics and would want to pursue a project frankly i have no clue how to make...
hi for all this is afirst time to visit the crazy eng. because im a new member so i want to more frind to learn all the information about the...
CEans, Following are the winners of CE Write To Win Contest 😁 CEan - Frodo.Rok πŸ˜β€‹Article: Production of Green (Pollution Free) Energy 😁 CEan - Prakash.Athani πŸ˜β€‹Article: Civilization Frontiers Both...
Write to Win Contest Winners 😁 CEan - Frodo.Rok 😁 Article: Production of Green (Pollution Free) Energy 😁 CEan - Prakash.Athani 😁 Article: Civilization Frontiers ​ ​
Hello , πŸ˜€ I am student Saudi .. I hope welcomes that my presence among you .. I liked the forum and I hope that I communicate with all members...