Solve the system

as follows.

(c) Show that

(d) Write the general solution and obtain its components in the form
x = c 1 e-1,
y = c2 cos 2t +c3 sin 2t,
z = c3 cos 2t - c2 sin 2t.
(e) Write the IVP solution for

in the form of part (d).
(f) Discuss the geometry of the solution curve in part (e) from its parametric equations. The curve is a helix.

Transcribed Image Text:

- 0 01 义=10 021元=AX 0 -2 0 λ,--21. 지 = e-'10 001 0 λ2, 0 0 X2=| cos 2t! and x1 =I sin 2t1. -sin 2 Lcos 2r