Answer to Question #25847 in Differential Equations for Sabrina DelCourt

Question #25847
If u is a solution of the wave equation u_tt - c^2u_xx = 0 on -infinity < x < infinity, t > 0 for which u-->0, u_x-->0, and u_t-->0 as x-->+/-infinity, then the enrgy E = the integral from -infinity to +infinity of
(u^2_t + c^2u^2_x)dx is constant.
Is there a corresponding conserved quantity E* for solutions of the equation u_tt - c^2u_xx - bu = 0?
0
Expert's answer

Answer in progress...

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS