Question

Determine the solution of the following initial boundary-value problem Uxx=4Utt 0<x<Pi t>0 U(x,0)=sinx 0<=x<Pi Ut(x,0)=x 0<=x<Pi...

Determine the solution of the following initial boundary-value problem

Uxx=4Utt 0<x<Pi t>0

U(x,0)=sinx 0<=x<Pi

Ut(x,0)=x 0<=x<Pi

U(0,t)=0 t>=0

U(pi,t)=0 t>=0

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Solve ut=uxx, 0 < x < 3, given the following initial and boundary conditions: - u(0,t)...
Solve ut=uxx, 0 < x < 3, given the following initial and boundary conditions: - u(0,t) = u(3,t) = 1 - u(x,0) = 0 Please write clearly and explain your reasoning.
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 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
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
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 following initial/boundary value problem: ∂u(t,x)/∂t = ∂^2u(t,x)/∂x^2 for t>0, 0<x<π, u(t,0)=u(t,π)=0 for t>0, u(0,x)=sin^2x...
Solve the following initial/boundary value problem: ∂u(t,x)/∂t = ∂^2u(t,x)/∂x^2 for t>0, 0<x<π, u(t,0)=u(t,π)=0 for t>0, u(0,x)=sin^2x for 0≤x≤ π. if you like, you can use/cite the solution of Fourier sine series of sin^2(x) on [0,pi] = 1/4-(1/4)cos(2x) please show all steps and work clearly so I can follow your logic and learn to solve similar ones myself.
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)
Find the solution formula for the heat equation ut = c2 uxx on the half-infinite bar...
Find the solution formula for the heat equation ut = c2 uxx on the half-infinite bar (0 ≤ x < ∞) with Dirichlet boundary condition u(0, t) = a, for some constant a, and initial condition u(x, 0) = f(x) using the Fourier sine transform.
Solve the heat equation and find the steady state solution: uxx = ut, 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, where T1 and T2 are distinct constants, and u(x,0) = 0
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT