Question

prove that u(x,t)=cosh 2x sinh 8t satisfied one dimensional wave equation

prove that u(x,t)=cosh 2x sinh 8t satisfied one dimensional wave equation
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
Let f(x) = 5x + tanh(x), where tanh x = sinh x /cosh x , and...
Let f(x) = 5x + tanh(x), where tanh x = sinh x /cosh x , and sinh x and cosh x is defined in question 1(b). Given that f(x) is one-to-one, use the linear approximation of( f −1 )(x) around a = 0 to estimate( f −1 )(0.2)
The state of a particle is completely described by its wave function Ψ(?,?) One-dimensional Schrodinger Equation--...
The state of a particle is completely described by its wave function Ψ(?,?) One-dimensional Schrodinger Equation-- answer the following questions: 2) Show that when U(x) = 0, and , is a solution to the one-?=2??/ℏΨ=?sin??dimensional Schrodinger equation. 3) Show that when U(x) = 0, and , is a solution to the one-?=2??/ℏΨ=?cos??dimensional Schrodinger equation. 4) Show that where A and B are constants is a solution to the Ψ=??+?Schrodinger equation when U(x) = 0, and when E = 0.
Determine whether each of the following functions is a solution of wave equation: a) u(x, t)...
Determine whether each of the following functions is a solution of wave equation: a) u(x, t) = sin (x − at), b) u(x, t) = sin (x − at) + ln (x + at)
Verify by substitution that U(x,t) = A eB(x-vt) is a solution to the wave equation when...
Verify by substitution that U(x,t) = A eB(x-vt) is a solution to the wave equation when A and B are constants.
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
Verify that u(x, t) = v(x + ct) + w(x − ct) satisfies the wave equation...
Verify that u(x, t) = v(x + ct) + w(x − ct) satisfies the wave equation for any twice differentiable functions v and w.
Write the example of one dimensional wave equation on [0, 4]. (Write out the system of...
Write the example of one dimensional wave equation on [0, 4]. (Write out the system of the PDEs) The boundary condition: At x = 4 is a homogeneous Dirichelet boundary condition At x = 0 is a homogeneous Neumann boundary condition. The initial condition of the displacement at t = 0 is x The initial velocity at t = 0 is 1.
Show that x(t) = A sin(wt) sin(kx) satisfies the wave equation, where w and k are...
Show that x(t) = A sin(wt) sin(kx) satisfies the wave equation, where w and k are some constants. Find the relation between w, k, and v so that the wave equation is satisfied.
1 - Write the one dimensional, time-independent Schrödinger Wave Equation (SWE). Using the appropriate potential energy...
1 - Write the one dimensional, time-independent Schrödinger Wave Equation (SWE). Using the appropriate potential energy functions for the following systems, write the complete time independent SWE for: (a) a particle confined to a one-dimensional infinite square well, (b) a one-dimensional harmonic oscillator, (c) a particle incident on a step potential, and (d) a particle incident on a barrier potential of finite width. 2 - Find the normalized wavefunctions and energies for the systems in 1(a). Use these wavefunctions to...
A standing wave’s function is y(x,t) = Asin(kx)cos(?t). Prove that this equation is indeed a solution...
A standing wave’s function is y(x,t) = Asin(kx)cos(?t). Prove that this equation is indeed a solution to the wave equation.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT