Math 221
Practice problems for Exam 1
 1.

Find the (implicit) solution to the separable equation
[dy/dx] = x^{2}yx^{2}+2y2
 3.

A pan of water with an initial temperature of 70^{°}F is
placed in a freezer which is maintained at a constant temperature of 20^{°}F.
10 minutes later, the water in the pan has reached a temperature of 50^{°}F.
How long does it take for the water to reach 35^{°}F?
 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 T_{E}X by T_{T}H, version 0.9.