Homework Answers
Add Answer to:
9. Use a suitable Fourier Transform to find the solution of the IVP utt (x, t) Uz(0, t) u(x, t) ,...
7. Use a suitable Fourier Transform to find the solution of the IVP 2t-r-1 ,2-1 t 〉 0, , u(x, t)...
Please show all steps to solution.
7. Use a suitable Fourier Transform to find the solution of the IVP 2t-r-1 ,2-1 t 〉 0, , u(x, t), uz (x, t) 0asx→00, t〉0, →
7. Use a suitable Fourier Transform to find the solution of the IVP 2t-r-1 ,2-1 t 〉 0, , u(x, t), uz (x, t) 0asx→00, t〉0, →
Problem 2. Find the type, transform to normal form, and find the solution u(x,t) of the...
Problem 2. Find the type, transform to normal form, and find the solution u(x,t) of the ID wave equation, Utt = Uxx, with the initial conditions u(x,0) = 2sin 2x and ut(x,0) = 0 and the boundary conditions u(0,t) = u(nt,t) = 0.
2. Consider the initial-boundary value problem 0 0, t >0 Uz uェェ, Uz(0, t) _ u(0, t) = 0. a(z, 0...
PDE questions. Please show all
steps in detail.
2. Consider the initial-boundary value problem 0
Problem 8. Find the solution in the form of Fourier integrals: 0, t> 0, t >...
Problem 8. Find the solution in the form of Fourier integrals: 0, t> 0, t > 0 t > 0, Зирт и(0, t) —D 0, u(x, t bounded as x > co, 0, Ut xe [0, 7], де (т, 00). sin x u(г, 0) 0
Problem 8. Find the solution in the form of Fourier integrals: 0, t> 0, t > 0 t > 0, Зирт и(0, t) —D 0, u(x, t bounded as x > co, 0, Ut xe...
Use fourier transform to solve the following BVP
Use Fourier transform to solve the following BVP Utt-Uxx=F(x,t) 0<x<1,t>0u(x,0)=f(x)ut(x,0)=0u(0,t)=ux(1,t)=0
9. Consider the beam PDE for the transverse deflection u(x, t) of an elastic beam Utt...
9. Consider the beam PDE for the transverse deflection u(x, t) of an elastic beam Utt + Kurz = 0 for 0 < x <L (30) where K > 0 is a constant. Suppose the boundary conditions are given by (31) u(0, t) = uz(0,t) = 0 Uwx (L, t) = Uzzz(L, t) = 0 (32) and the initial conditions are (33) u(x,0) = (x) u1(x,0) = V(x) (34) Use separation of variables to find the general solution to the...
4. Consider the semi-infinite string problem given by Utt = cʻuza, 0<x< 0,> 0 u(x,0) =...
4. Consider the semi-infinite string problem given by Utt = cʻuza, 0<x< 0,> 0 u(x,0) = f(x), 0<x< ~ ut(2,0) = g(2), 0 < x < 0 u(0,t) = 0, t> 0 Suppose that c=1, f(0) = (x - 1) - h(2 – 3) and g(C) = 0. (a) Write out the appropriate semi-infinite d'Alembert's solution for this problem and simplify. (b) Plot the solution surface and enough time snapshots to demostrate the dynam- ics of the solution.
Use the Fourier transform to find a solution of the ordinary differential equation u´´-u+2g(x) =0 where g∈L1. (The solu...
Use the Fourier transform to find a solution of the ordinary
differential equation u´´-u+2g(x) =0
where g∈L1. (The solution obtained this
way is the one that vanishes at ±∞. What is the general
solution?)
1. Use the Fourier transform to find a solution of the ordinary differential equation u" - u + 2g(x) = 0 where g E L. (The solution obtained this way is the one that vanishes at £oo. What is the general solution?) eg(y)dy eg(y)dy e Answer:...
Let u(x, t) be the solution to utt = 9uxx for 0 ≤ x ≤ 2...
Let u(x, t) be the solution to utt = 9uxx for 0 ≤ x ≤ 2 and t ≥ 0, where: u(0, t) = 0, u(2, t) = 0, and u(x, 0) = f(x) = 1 − |x − 1|. Use D’Alembert’s solution to find u(1, 0.1) and u(1, 0.8). Be careful to consider that D’Alembert’s solution uses the odd periodic extension of f(x).
9. (a) Use the Tables of Fourier transforms, along with the operational theorems, to find the...
9. (a) Use the Tables of Fourier transforms, along with the operational theorems, to find the inverse Fourier transform of iw 45iw(iw2 (b) The function f(t) satisfies the integral equation: f(t)2 f(t - u) sgn(u) du — 6е" H(). Find the Fourier transform of the function f (t) and hence find the solution f(t) The sign function sgn(t) = 1 if t 0, 0 if t 0 and -1 if t < 0 H(t) is the Heaviside unit step function...
Please show all steps to solution.
7. Use a suitable Fourier Transform to find the solution of the IVP 2t-r-1 ,2-1 t 〉 0, , u(x, t), uz (x, t) 0asx→00, t〉0, →
7. Use a suitable Fourier Transform to find the solution of the IVP 2t-r-1 ,2-1 t 〉 0, , u(x, t), uz (x, t) 0asx→00, t〉0, →
Problem 2. Find the type, transform to normal form, and find the solution u(x,t) of the ID wave equation, Utt = Uxx, with the initial conditions u(x,0) = 2sin 2x and ut(x,0) = 0 and the boundary conditions u(0,t) = u(nt,t) = 0.
PDE questions. Please show all
steps in detail.
2. Consider the initial-boundary value problem 0
Problem 8. Find the solution in the form of Fourier integrals: 0, t> 0, t > 0 t > 0, Зирт и(0, t) —D 0, u(x, t bounded as x > co, 0, Ut xe [0, 7], де (т, 00). sin x u(г, 0) 0
Problem 8. Find the solution in the form of Fourier integrals: 0, t> 0, t > 0 t > 0, Зирт и(0, t) —D 0, u(x, t bounded as x > co, 0, Ut xe...
9. Consider the beam PDE for the transverse deflection u(x, t) of an elastic beam Utt + Kurz = 0 for 0 < x <L (30) where K > 0 is a constant. Suppose the boundary conditions are given by (31) u(0, t) = uz(0,t) = 0 Uwx (L, t) = Uzzz(L, t) = 0 (32) and the initial conditions are (33) u(x,0) = (x) u1(x,0) = V(x) (34) Use separation of variables to find the general solution to the...
4. Consider the semi-infinite string problem given by Utt = cʻuza, 0<x< 0,> 0 u(x,0) = f(x), 0<x< ~ ut(2,0) = g(2), 0 < x < 0 u(0,t) = 0, t> 0 Suppose that c=1, f(0) = (x - 1) - h(2 – 3) and g(C) = 0. (a) Write out the appropriate semi-infinite d'Alembert's solution for this problem and simplify. (b) Plot the solution surface and enough time snapshots to demostrate the dynam- ics of the solution.
Use the Fourier transform to find a solution of the ordinary
differential equation u´´-u+2g(x) =0
where g∈L1. (The solution obtained this
way is the one that vanishes at ±∞. What is the general
solution?)
1. Use the Fourier transform to find a solution of the ordinary differential equation u" - u + 2g(x) = 0 where g E L. (The solution obtained this way is the one that vanishes at £oo. What is the general solution?) eg(y)dy eg(y)dy e Answer:...
9. (a) Use the Tables of Fourier transforms, along with the operational theorems, to find the inverse Fourier transform of iw 45iw(iw2 (b) The function f(t) satisfies the integral equation: f(t)2 f(t - u) sgn(u) du — 6е" H(). Find the Fourier transform of the function f (t) and hence find the solution f(t) The sign function sgn(t) = 1 if t 0, 0 if t 0 and -1 if t < 0 H(t) is the Heaviside unit step function...
Most questions answered within 3 hours.
-
An software company has three different promotion plans for
its software purchase:
plan A: each software...
asked 15 minutes ago -
If
P(A)=.62, P(B)=.47, & P(A or B)=.88. What is the likeliness of
selecting only A?
A)...
asked 14 minutes ago -
What is the FUTURE VALUE of $500 invested for 3 years at 7% with
ANNUAL Compounding...
asked 23 minutes ago -
Modify the method so that instead of manually making teams, it
reads it from a text...
asked 22 minutes ago -
1. Which of the following is not a principle to apply to
construction:
Select one:
a....
asked 24 minutes ago -
In what way is a Christian’s position made more challenging by
revealing faith in the workplace?...
asked 31 minutes ago -
1) There are four categories of customer benefits in B2B
(business-to-business) markets. Which of the following...
asked 28 minutes ago -
What is the pH of a 150.0 mL solution of 0.0273 M NaOH (strong
base)?
asked 37 minutes ago -
A thin ball shell is shaped like a hollow ball with a radius of
26.6 cm....
asked 43 minutes ago -
What mass of KX (Mm= 180 g/mol) is required to prepare 483 mL of
a pH...
asked 42 minutes ago -
In a lottery game, 4 numbers from 1 to 29 are selected. Winners
must match all...
asked 54 minutes ago -
A catfish is 2.5 m below the surface of a smooth lake.
(a) What is the...
asked 56 minutes ago