{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# exam1 - ODE Math S3027D Section 001 Summer 2008 Exam 1 Name...

This preview shows pages 1–5. Sign up to view the full content.

ODE, Math S3027D Section 001 Summer 2008 Exam 1 Name: June 12, 2007 Do all problems, in any order. Show your work. An answer alone may not receive full credit. No notes, texts, or calculators may be used on this exam. Problem Possible Points Points Earned 1 10 2 10 3 10 4 10 5 10 6 10 7 10 TOTAL 70 1

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

View Full Document
1. (10 points) Find a particular solution of y 00 + 6 y 0 + 13 y = e - t . 2
2. (10 points) Find the general solution to ty 0 = 4 t - 3 y . 3

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

View Full Document
(10 points) Salt water enters a 20 gallon tank at a rate of 5 gal/min and leaves at the same rate from the bottom. A rotor keeps the solution well mixed. Write x ( t ) for the number of pounds of salt in the tank at time t . Suppose at t = 0 the tank is full of fresh water. Suppose that the concentration of salt water being added is q ( t ) lb/gal (lb=pound). (a) Write the ODE governing x ( t ) ( t measured in min). (b) Suppose that the concentration q ( t ) of the salt water being added varies periodically with time according to the expression g ( t ) = 2 + sin t . Solve the ODE from part (a) using this g ( t ). 4
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 8

exam1 - ODE Math S3027D Section 001 Summer 2008 Exam 1 Name...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online