Faculty of Engineering and Applied Science
2009 Winter
Problem Set 9 - Questions
[Sections 4.1-4.5]
Is the function f (x, y )
= 3 x2y-y3 harmonic and, if so,
on what domain?
Find the subsequent motion of an infinite string that
is released from rest with the initial displacement
Classify the partial differential equation
and find its complete solution, given the additional
information
Classify the partial differential equation
and find its complete solution, given the additional
information
Classify the partial differential equation
and find its complete solution on the interval
0 <x< 100 for
all positive time t, given the additional
information
Also write down the steady state solution.
Classify the partial differential equation
and find its general solution.
Classify the partial differential equation
and find its general solution.