solving differencial equations

These homework problems that I need help on are due tommorrow, eastern standard time. I am stuck could someone please help? Here they are:

1) Solve the initial value problem: dx/dt = 1- x^(2), x(0)= 3

2) The world population in 1990 was 5,274.320M and in 2000 was 6,073.265M. Predict the world population in 2007 and 2050 by using the Unbounded Population Model. Is your answer greater, lesser, or equal to

the current world population posted on

U.S. and World Population Clocks - POPClocks (Solve w/o Maple)

http://www.mathhelpforum.com/math-he...c3fd4448-1.gif (Unbounded population model)

3) the world population in 1980 was 4,447.068M, in 1990 was 5,274.320M

and in 2000 was 6,073.265M. Predict the world population in 2007 and

2050 by using the Bounded Population Model. Also, what is the limiting

population (carrying capacity) of the world? (Solve w/o Maple).

http://www.mathhelpforum.com/math-he...72ba832d-1.gif (logistic growth model)

where http://www.mathhelpforum.com/math-he...3c97c188-1.gif is the carrying capacity.