Third graded homework (due 10/27)
For maximal credit, full working must be shown.
Write the function
u(t) = 4 cos t - 3 sin t
in amplitude-phase form.
Find a particular solution to the differential equation
y'' + y = csc t
for initial data at t = 1.
Give the general solution to the differential equation
t2y'' - 3ty' + 4y = 0
in the range t > 0. If you wish, you may assume that
y1(t) = t2
is one solution.