10-22-11

10-22-11 - Math 5-A FALL 2011 MID-TERM PRACTICE PROBLEMS...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 5-A FALL 2011 MID-TERM PRACTICE PROBLEMS (1) Find the general solution of ( a ) 2 y 00- 5 y- 3 y = 0 , ( b ) y 000 + 3 y 00- 4 y = 0 , ( c ) y (4) + 2 y 00 + y = 0 . (2) Find the general solution of ( a ) y 00- 5 y + 4 y = 8 e x , ( b ) y 00 + 4 y = x cos( x ) , ( c ) y 00- 9 y + 14 y = xe 2 x + x, ( d ) y 00 + y = sec( x ) . (3) Find the solution following initial value problems ( a ) y 00 + 4 y =- 2 y ( / 8) = 1 / 2 , y ( / 8) = 2 , ( b ) y 00 + 4 y = F sin( ax ) , y (0) = y (0) = 0 , ( c ) y 00- 9 y + 14 y = xe 2 x + x, y (0) = 1 , y (0) = 0 . (4) Consider equation d 2 x dt 2 + 4 x =- 4 sin(2 t ) . (a) Find the solution satisfying the initial conditions x (0) = 0 , x (0) = 1. (b) Sketch the graph of the solution for 0 t 4 . (c) If the function x ( t ) in part (a) is the position at time t of a mass attached to a spring, how do you describe, in your own words, the motion of the mass?...
View Full Document

Page1 / 3

10-22-11 - Math 5-A FALL 2011 MID-TERM PRACTICE PROBLEMS...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online