Let f(x, y) u(x, y, 0) be the initial temperature in a thin square plate of side with edges kept at 0C and faces perfectly insulated Separating variables, obtain from u t c 2 2 u the solution where ...

To obtain the solution for ux y t using the given initial temperature fx y and the heat equation ut cu we can separate variables and apply the method of separation of variables Lets go through the ste ...

Let f(x, y) = u(x, y, 0) be the initial temperature in a thin square plate of

Question:

Let f(x, y) = u(x, y, 0) be the initial temperature in a thin square plate of side π with edges kept at 0°C and faces perfectly insulated. Separating variables, obtain from u_t = c²∇²u the solution

where