Question

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.

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

Homework Answers

Answer #1

Doubt in any step then comment below...i will help you..

.

please thumbs up for this solution...thanks..

.

here we see that Boundary conditions are not homoegeneous...so first we make these conditions homoegeneous by subtracting 1 from u(x,t)

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
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).
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
Solve the wave equation on the whole line (no boundary conditions) with initial conditions: u(x,0) =...
Solve the wave equation on the whole line (no boundary conditions) with initial conditions: u(x,0) = 0, ut (x,0)=xe^(-x^2)
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 heat equation ut = k uxx, 0 < x < L, t > 0...
Solve the heat equation ut = k uxx, 0 < x < L, t > 0 u(0, t) = u(L, t) = 0, t > 0 u(x, 0) = f(x), 0 < x < L a) f(x) = 6 sin 9πx L b) f(x) = 1 if 0 < x ≤ L/2 2 if L/2 < x < L
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 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
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 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
Please solve the following: ut=kuxx+sin3πx, 0<x<1, t>0 u(0,t)=u(1,t)=0, t>0 u(x,0)=sinπx, 0<x<1
Please solve the following: ut=kuxx+sin3πx, 0<x<1, t>0 u(0,t)=u(1,t)=0, t>0 u(x,0)=sinπx, 0<x<1
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT