MATH 19A Midterm: MATH19 Harvard Midterm1F0219 Fall 04
Document Summary
For full credit be sure to show all of your work. It is sometimes possible to get the correct answer by the wrong method. In such cases very little, if any, credit will be given. Write neatly! unreadable answers will receive little if any credit. 1: suppose that you wish to model a population with a di erential equa- tion of the form dp/dt = f (p ), where p (t) is the population at time t. 2: consider the following di erential equation for the function y(t): dy dt. 3: given f (x, y) = y + cos(x2y), compute the following partial derivatives: (9 points) (a) 4: consider the following two predator-prey systems of di erential equa- tions: (i) (ii) dx dt dy dt dx dt dy dt x. In one of these systems, the prey are very large animals and the preda- tors are very small animals, such as elephants and mosquitos.
