Name:

MATH 285 Section N1
Fall 2001
Quiz 2

Please answer all questions on this sheet. Note that there are questions on both sides of this sheet. You must show your work to obtain full credit. 10 points are possible. Good luck!

1.

(4 points) Solve the initial value problem dy/dx+(3/x)y=2/x², y(1)=2.

2.

(3 points) Solve the differential equation dy/dx+y=y².

3.

(3 points) A certain population at time t is given by P=P(t). The initial population is 100, the birth rate is given by .1 and the death rate is .06.

(a)

Write the differential equation for P.

(b)

Find the population at time t=10.