Practice_MT_2_Math_33B_F08

Practice_MT_2_Math_33B_F08 - Mathematics 33B Practice...

Info iconThis preview shows pages 1–6. 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

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

View Full DocumentRight 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: Mathematics 33B - Practice Midterm 2 Official exam to be administered Nov. 21st, 11:00am NAME (please print legibly): Your University ID Number: Your Discussion Section and TA: Signature: QUESTION VALUE SCORE 1 25 2 25 3 25 4 25 TOTAL 100 1 1. (25 points) (a) Find the general solution to y 00 + y- 6 y = 0. (b) Find a particular solution to y 00 + y- 6 y = 4 te t . 2 (c) Solve the initial value problem y 00 + y- 6 y = 4 te t , y (0) = 1 / 4, y (0) =- 3 / 4. 3 2. (25 points) (a) Find the general solution to y 00 + 2 y + 5 y = 0. 4 (b) Find the general solution to y 00 + 2 y + 5 y = 2 cos t . (c) As t → ∞ all solutions to y 00 + 2 y + 5 y = 2 cos t approach the steady state solution. Write the steady state solution in the form A cos( t- δ ). You do not need to find δ explicitly, but do find tan δ and say which of the intervals (- π,- π/ 2] , (- π/ 2 , 0] , (0 ,π/ 2], or ( π/ 2 ,π ] contains δ ....
View Full Document

Page1 / 8

Practice_MT_2_Math_33B_F08 - Mathematics 33B Practice...

This preview shows document pages 1 - 6. Sign up to view the full document.

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