Unformatted text preview: ∂u ∂t = k 1 r ∂ ∂r r ∂u ∂r ! + 1 r 2 ∂ 2 u ∂θ 2 ! inside a disk of radius a subject to the boundary condition ∂u ∂r ( a, θ, t ) = 0 , and the initial condition u ( r, θ, 0) = f ( r, θ ) where f ( r, θ ) is a given function. 15. Determine which of the following equations are separable: 49...
View Full Document
- Fall '08
- Partial differential equation, initial condition, 2L, Fourier cosine series