Question

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

Homework Answers

Answer #1

The answer is in the pic, I hope this solution helps, if it does please upvote to encourage us. Thanks:)

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 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
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 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.
Partial differential equations Solve using the method of characteristics ut +1/2 ux + 3/2 vx =...
Partial differential equations Solve using the method of characteristics ut +1/2 ux + 3/2 vx = 0 , u(x,0) =cos(2x) vt + 3/2 ux + 1/2 vx = 0 , v(x,0) = sin(2x)
Solve the BVP for the wave equation ∂^2u/∂t^2(x,t)=∂^2u/∂x^2(x,t),  0 < x < pi, t > 0 u(0,t)=0,...
Solve the BVP for the wave equation ∂^2u/∂t^2(x,t)=∂^2u/∂x^2(x,t),  0 < x < pi, t > 0 u(0,t)=0, u(pi,t)=0,  ? > 0, u(0,t)=0,  u(pi,t)=0,  t>0, u(x,0)= sin(x)cos(x), ut(x,0)=sin(x), 0 < x < pi
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
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.
Using separation of variables to solve the heat equation, ut = kuxx on the interval 0...
Using separation of variables to solve the heat equation, ut = kuxx on the interval 0 < x < 1 with boundary conditions ux (0, t ) = 0 and ux (1, t ) = 0, yields the general solution, ∞ u(x,t) = A0 + ?Ane−kλnt cos?nπx? (with λn = n2π2) n=1DeterminethecoefficientsAn(n=0,1,2,...)whenu(x,0)=f(x)= 0, 1/2≤x<1 .
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.)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT