Find the solution u(x, t) of the second-order equation
Utt + 2 Uxt - 3Uxx = 0, xER, t≥ 0.
Show that the function
B(t) = L (23 0(2,1)² + 2 u₂(x, 1)º) da
is an energy function for any solution of (*) that vanishes whenever x =
= 0, 1.
Answer rating: 100% (QA)
To find the solution u x t of the second order partial differential equation PDE given as Utt 2Uxt 3Uxx 0 We can first assume a solution of the form uView the full answer