Question

Use the Fourier transform to find the solution of the following initial boundaryvalue Laplace equations uxx...

Use the Fourier transform to find the solution of the following initial boundaryvalue Laplace equations

uxx + uyy = 0, −∞ < x < ∞ 0 < y < a,

u(x, 0) = f(x), u(x, a) = 0, −∞ < x < ∞

u(x, y) → 0 uniformlyiny as|x| → ∞.

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
Use the Fourier sine transform to derive the solution formula for the heat equation ut =...
Use the Fourier sine transform to derive 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).
Consider Dirichlet-Neumann problem uxx + uyy = 0,    −∞ < x < ∞, 0 <...
Consider Dirichlet-Neumann problem uxx + uyy = 0,    −∞ < x < ∞, 0 < y < 1 u|y=0 = f(x) uy|y=1 = g(x) Make Fourier transform by x, solve problem for ODE for uˆ(k, y) which you get as a result and write u(x, y) as a Fourier integral.
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.
Given use Laplace transform to solve the following systems of differential equations. 2x' - y' -...
Given use Laplace transform to solve the following systems of differential equations. 2x' - y' - z' = 0 x' + y' = 4t + 2 y' + z = t2 + 2 SUBJECT = ORDINARY DIFFERENTIAL EQUATIONS TOPIC = LAPLACE TRANSFORM
Find the solution of the following equations using Laplace transform: (a)y'-y=1, y(0)=0 (b) calculate the derivative...
Find the solution of the following equations using Laplace transform: (a)y'-y=1, y(0)=0 (b) calculate the derivative of L{t^(n-1)f(t)} with respect to s. Is there any relation between the result and L{t^nf(t)}
Use the Laplace transform to solve the following initial value problem y”+4y=cos(8t) y(0)=0, y’(0)=0 First, use...
Use the Laplace transform to solve the following initial value problem y”+4y=cos(8t) y(0)=0, y’(0)=0 First, use Y for the Laplace transform of y(t) find the equation you get by taking the Laplace transform of the differential equation and solving for Y: Y(s)=? Find the partial fraction decomposition of Y(t) and its inverse Laplace transform to find the solution of the IVP: y(t)=?
Differential Equations: Use the Laplace transform to solve the given initial value problem: y′′ −2y′ +2y=cost;...
Differential Equations: Use the Laplace transform to solve the given initial value problem: y′′ −2y′ +2y=cost; y(0)=1, y′(0)=0
Use the Laplace transform to solve the following initial value problem: y′′ + 8y ′+ 16y...
Use the Laplace transform to solve the following initial value problem: y′′ + 8y ′+ 16y = 0 y(0) = −3 , y′(0) = −3 First, using Y for the Laplace transform of y(t)y, i.e., Y=L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation __________________________ = 0 Now solve for Y(s) = ______________________________ and write the above answer in its partial fraction decomposition, Y(s) = A / (s+a) + B / ((s+a)^2) Y(s) =...
Use the Laplace transform to solve the given system of differential equations. dx dt = −x...
Use the Laplace transform to solve the given system of differential equations. dx dt = −x + y dy dt = 2x x(0) = 0, y(0) = 2
Solve the system of differential equations using Laplace transform: y'' + x + y = 0...
Solve the system of differential equations using Laplace transform: y'' + x + y = 0 x' + y' = 0 with initial conditions y'(0) = 0 y(0) = 0 x(0) = 1
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT