Heat Equations - Consider the heat equation
.
(a) Show that if where and is a constant, then satisfies the ordinary differential equation
, (where ).
(b) Show that
=
is i ...
Differential Equations : Solution to Heat Equation - Consider the heat equation
.
Show that if where and is a constant, then satisfies the ordinary differential equation
, (where ).
Show that
=
is indepen ...
A simple steady-state problem of heat equation - See attached file for full problem description.
Consider the heat equation:
U(0, t) = 0, u(1, t) =1
Where K(x) = exp(x)/cos(x)
(a) determine the steady state solution.