Question: Please help. Assume that a boundary condition u(0, t) = t, t > 0, was given together with a PDE whose unknown function u(x, t),

Please help.

Assume that a boundary condition u(0, t) = t, t > 0, was given together with a PDE whose unknown function u(x, t), where a E R and t > 0. Let U(x, s) be the Laplace transform of u(x, t). Applying Laplace transform to the PDE, the new 2:2 ODE has the general solution U(x, s) = ce- + $2 + 1 Then c = Select one: O No enough information are available to find c. O e $2 +1 O

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Math 220 Quiz 11 Spring 2015 Name: Put all work on this sheet in the space provided below and show details for your solution and attach additional pages if necessary. You must hand in this rst page....

For a homework question, we have to plot the solution to a diffusion problem at multiple time points. Here is the question: Here is my answer to the Q2 mentioned: x = -5:0.05:5; t1 = 0.01; t2 = 0.1;...

232 CHAPTER 4. LINEAR PARTIAL DIFFERENTIAL EQUATIONS As a consequence, the sum u(x, t) = u1 (x, t) + u2 (x, t) will satisfy the same boundary conditions, @u (0, t) = @x @u (0, t) = @x @u1 (0, t) + @x...

5, MATH 525 FALL 2015 This homework is due in class Nov 18th. Please write up your solutions on your own and give complete arguments. I. Let u(x, t) be the solution to the heat equation with diusion...

please help me with this asap do it carefully and clearly plz. # Import library import numpy as #(2 points) # Function register_Arun_3D # Input: Two 3x matrices of points to register: # fixed dataset...

Ut + Up = 0, = te (0,0), x (0,1) in classical sense. Here we impose the following initial condition u(x,0) =U(x), = x (0,1), and the boundary condition u(0,t) = 0, te (0,0). (1) We assume the...

Please try to re-write the matlab codes in clear and nice way because I could not get the last two figures by the written codes. I want the codes that give me the last two figures: 1.1 Single...

function = explicit(mx) %% Problem Number: 49 L = 45; tmax = 80; U = 0.8; D = 1.2; Xs = 4; Cs = 10; XFlux = 36; % % % % % % % m s m/s m2/s m kg/m m % Calculating dx and dt based of mx input dx =...

Please try to re-write the matlab codes in clear and nice way because I could not get the last two figures by using the written codes. I want the codes that give me the last two figures: 1.1 Single...

Objective To gain practical experience in writing code that computes a numerical solution of a PDE. Introduction In two dimensions, Laplace's Equation can be written or + y = 0. for (x,y) where is...

- Kendrick owns a record label in Compton, California. In 2019 he paid $400,000 in wages, $60,000 in equipment, and $100,000 for music rights. He could rent out the studio that he owns for $40,000 a...

) 1. Consider the following graph of a function y = f(x) -8-7 (i) f -2-- Domain= 71 State the domain and range of f(x) using interval notation. Range= (ii) State the interval(s) on which f(r) is...

a ) The new IT system will also have the advantage of allowing for a greater volume of work and hence expansion of the business. Carry out an initial investment appraisal for the project that...

18) Universal Leasing leases electronic equipment to a variety of businesses. The companys primary service is providing alternate financing by acquiring equipment and leasing it to customers under...