Consider the equation
tu_(t)-u_( imes )-2u=0,
with boundary conditions u(t,0)=u(t,pi )=0. By separating variables, show that there are an infinite number of solutions to this problem with u(0,x)=0. That is, uniqueness does not hold for this problem.
Consider the equation
tut - uxx - 2u = 0,
with boundary conditions u(t,0) = u(t,7) = 0. By separating variables, show that there are an infinite number of solutions to this problem with u(0,x) = 0. That is, uniqueness does not hold for this problem