1. Find the general solution y(t) of the ordinary dierential equation
where ω is a non-negative constant. (Consider the ω = 0 and ω > 0 cases separately).
2. Use Laplace transform to solve the following dierential equation for y(t):
given that y(0) = 0 and y'(0) = 2.3. Consider the following partial dierential equation for u(x; t)
(a) If is a function of t, derive two ODEs by separation of variables.
(b) If is a function of x, derive two ODEs by separation of variables.