Question

Using the Method of Separation of variables solve ∂u/∂x = 2 ∂u/∂t+u at where u (x,0) = 6e^-3t

Answer 1

Answer:

In this method a PDE involving n independent variables is converted into n ... ∂2u. ∂x2. = 2xet where u is a function of x and t. Integrating with respect to x gives us. ∂ ... 2. ∂u. ∂t over. 0 <x< 3, t > 0 for the boundary conditions u(0,t) = u(3,t)=0.