Question

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)

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.
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) =...
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)=?
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
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
Solve the heat equation and find the steady state solution : uxx=ut 0<x<1, t>0, u(0,t)=T1, u(1,t)=T2,...
Solve the heat equation and find the steady state solution : uxx=ut 0<x<1, t>0, u(0,t)=T1, u(1,t)=T2, where T1 and T2 are distinct constants, and u(x,0)=0
Solve the below boundary value equation 1. Ut=2uxx o<x<pi 0<t 2. u(0,t) = ux(pi,t) 0<t 3....
Solve the below boundary value equation 1. Ut=2uxx o<x<pi 0<t 2. u(0,t) = ux(pi,t) 0<t 3. u(x,0) = 1-2x 0<x<pi
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
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).
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
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT