 
Summary: Review Sheet: Final
The final will cover sections 1.11.6, 3.13.6 as well as 5.1, 5.2, 5.4, and 5.5; in
addition to all material covered in the lectures. You may bring two sheets of paper
(8.5inื11in) to the test, on which you may record any helpful formulas, problems,
etc... However, calculators and other computing devices will not be permitted. The
exam will take place on Tuesday, May 15, from 810:30am in Javits 101. The following
list of problems will help in preparing for the exam.
1. Solve
a) xy + 2y = x2
 x + 1, y(1) =
1
2
, b) y + (tan x)y = x sin 2x, 
2
< x <
2
.
2. Determine an interval in which the solution is certain to exist,
