Purchase Solution

# d'Alembert's solution

Not what you're looking for?

Consider the wave equation for a semi-infinite string(in the domain x>or =0)
with wave speed c=1, for initial conditions u(x,0)=0 and
(u) subscript (t)(x,0)= (4x)/(1+x^2), x>or =0
Using d'alembert's solution show that the solution of the wave equation for t>or=0
is u(x,t)=In((1+(x+t)^2)/(1+(x-t)^2))

I have to consider the cases x>t and x<t separately.
I know d'Alembert's equation is
u(x,t)=F(x-ct)+G(x+ct)

##### Solution Summary

The expert considers a wave equation for a semi-infinite string.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Probability Quiz

Some questions on probability