ISNS 2367 Lecture 2: Chapter 2 - Study Questions

We can put the ODE: [D(D^2 + tD)]y(t) in the form: a) [D(D^2 + tD)]y'(t) b) [D(D^2 + tD)D]y(t) c) [D^3 + tD^2 + D]y(t) d) [D^3 + tD^2]y(t)

The independent functions solution of: [t2D2-tD + 1)y(t) = 0 are: a)ft, tint) b) (e, te) c) t cos (Int), t sin(Int) 8) d (e e

(18 pts.) 2. Consider the solid E bounded by the surfaces y-x, z = 0, and y+2z = 4 Express the integral jj 6ydv as an iterated integral in the order indicated. (a) dz dy dr (b) dz dx dy (c) dy dz dr d) dy d dz (e) d dz dy (0) dx dy d