GENERAL SOLUTION
Find a general solution of the ODE with
as given. Show the details of your work.
6.
7.
8. Rectifier. and
9. What kind of solution is excluded in Prob. 8 by
?
10. Rectifier. and
11.
12. CAS Program. Write a program for solving the ODE
just considered and for jointly graphing input and output
of an initial value problem involving that ODE. Apply
r(t) b
1 if p t 0
1 if 0 t p, ƒvƒ 1, 3, 5, Á
r(t 2p) r(t), ƒvƒ 0, 2, 4, Á r(t) p/4 ƒsin t ƒ if 0 t 2p
ƒvƒ 0, 2, 4, Á
r(t 2p) r(t), ƒvƒ 0, 2, 4, Á r(t) p/4 ƒ cos t ƒ if p t p
r(t) sin t, v 0.5, 0.9, 1.1, 1.5, 10
r(t) sin at sin bt, v2 a2
, b2
r(t)
ys v2
y r(