Math 221


Practice problems for Exam 1



1.
Find the (implicit) solution to the separable equation


[dy/dx] = x2y-x2+2y-2



3.
A pan of water with an initial temperature of 70F is placed in a freezer which is maintained at a constant temperature of 20F. 10 minutes later, the water in the pan has reached a temperature of 50F. How long does it take for the water to reach 35F?



4.
Solve the initial value problem


xy - 2y = x+1

y(1) = 3



From the textbook:


p.23: 2,10,17,18

p.30: 8,12

p.38: 4,8,14

p.45: 6,10,11

p.54: 2,15,20,27

p.69: 2,11,12

p.422: 1,3,4,5 (but the exam problem won't be nearly as long...)


File translated from TEX by TTH, version 0.9.