Question

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

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
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
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).
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) =...
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)
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 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 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.
4. a) solve the ff: Initial Value Problem: Eqtn : 2ut + XUx =0 U(X,0) =...
4. a) solve the ff: Initial Value Problem: Eqtn : 2ut + XUx =0 U(X,0) = f(X) b) Assuming f is C1,verify that u(x,t) =   f (xe^ -t/2 ) is a solution. 5) a) Solve the Initial Value problem: Eqtn : 2ut + XUx =0   U(X,0) = -X^2 +2X, ON THE DOMAIN 0 < x< 2 , t>2 b ) DRAW THE GRAPHS OF THE SOL. U(X,ti) as a function of X, FOR ti= 0, 0.1, 0.5, 1.0 c) HOW DO...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT