If , then the convolution theorem for the Fourier
Chapter 14, Problem 14.1.85(choose chapter or problem)
If , then the convolution theorem for the Fourier transform is given by . Use this result and to show that a solution of the boundary-value problem is u(x, t) 1 21kt f( )e(x ) 2 /4kt d . u(x, 0) f(x), x k 2 u x2 u t , x , t 0 {ex2 /4p2 } 2 1pep2 2 f( )g(x ) d 1 {F()G()} { f(x)} F() and {g(x)} G() u(x, 0) ex2 ,
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer