Question

We have the Problem: utt-c2uxx=0,x>=0,t>=0 u(x,0)=g(x),x>=0 ut(x,0)=h(x),x>=0 ut(0,t)=αux(0,t),t>=0 u(x,t)=?

We have the Problem:

utt-c2uxx=0,x>=0,t>=0

u(x,0)=g(x),x>=0

ut(x,0)=h(x),x>=0

ut(0,t)=αux(0,t),t>=0

u(x,t)=?

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find a solution u(x, t) of the following problem utt = 2uxx, 0 ≤ x ≤...
Find a solution u(x, t) of the following problem utt = 2uxx, 0 ≤ x ≤ 2 u(0, t) = u(2, t) = 0 u(x, 0) = 0, ut(x, 0) = sin πx − 2 sin 3πx.
Let U(x,t) be the solution of the IBVP: Utt=4Uxx, x>0, t>0 ICs: U(x,0) = x, Ut(x,0)...
Let U(x,t) be the solution of the IBVP: Utt=4Uxx, x>0, t>0 ICs: U(x,0) = x, Ut(x,0) = 0, x>0 BCs: Ux(0,t) = 0 Find U(4,1) and U(1,2)
Solve the wave equation: utt = c2uxx, 0<x<pi, t>0 u(0,t)=0, u(pi,t)=0, t>0 u(x,0) = sinx, ut(x,0)...
Solve the wave equation: utt = c2uxx, 0<x<pi, t>0 u(0,t)=0, u(pi,t)=0, t>0 u(x,0) = sinx, ut(x,0) = sin2x, 0<x<pi
8. Find the solution of the following PDE: utt − 9uxx = 0 u(0, t) =...
8. Find the solution of the following PDE: utt − 9uxx = 0 u(0, t) = u(3π, t) = 0 u(x, 0) = sin(x/3) ut (x, 0) = 4 sin(x/3) − 6 sin(x) 9. Find the solution of the following PDE: utt − uxx = 0 u(0, t) = u(1, t) = 0 u(x, 0) = 0 ut(x, 0) = x(1 − x) 10. Find the solution of the following PDE: (1/2t+1)ut − uxx = 0 u(0,t) = u(π,t) =...
find the solution of the initial value-boundry vaule problem 8uxx=ut 0<x<8 t>=0 u(0,t)=0 u(8,t) = 4...
find the solution of the initial value-boundry vaule problem 8uxx=ut 0<x<8 t>=0 u(0,t)=0 u(8,t) = 4 u(x,0) = x
uxx = ut - u (0<x<1, t>0), boundary conditions: u(1,t)=cost, u(0,t)= 0 initial conditions: u(x,0)= x...
uxx = ut - u (0<x<1, t>0), boundary conditions: u(1,t)=cost, u(0,t)= 0 initial conditions: u(x,0)= x i) solve this problem by using the method of separation of variables. (Please, share the solution step by step) ii) graphically present two terms(binomial) solutions for u(x,1).
1. Solve fully the heat equation problem: ut = 5uxx u(0, t) = u(1, t) =...
1. Solve fully the heat equation problem: ut = 5uxx u(0, t) = u(1, t) = 0 u(x, 0) = x − x ^3 (Provide all the details of separation of variables as well as the needed Fourier expansions.)
Solve the wave equation Utt - C^2 Uxx = 0 with initial condtions : 1) u(x,0)...
Solve the wave equation Utt - C^2 Uxx = 0 with initial condtions : 1) u(x,0) = log (1+x^2), Ut(x,0) = 4+x 2) U(x,0) = x^3 , Ut(x,0) =sinx (PDE)
Solve heat equation for the following conditions ut = kuxx t > 0, 0 < x...
Solve heat equation for the following conditions ut = kuxx t > 0, 0 < x < ∞ u|t=0 = g(x) ux|x=0 = h(t) 2. g(x) = 1 if x < 1 and 0 if x ≥ 1 h(t) = 0; for k = 1/2
Use the eigenfunction expansion to solve utt = uxx + e −t sin(3x), 0 < x...
Use the eigenfunction expansion to solve utt = uxx + e −t sin(3x), 0 < x < π u(x, 0) = sin(x), ut(x, 0) = 0 u(0, t) = 1, u(π, t) = 0. Your solution should be in the form of Fourier series. Write down the formulas that determine the coefficients in the Fourier series but do not evaluate the integrals
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT