### Home > APCALC > Chapter 12 > Lesson 12.2.2 > Problem 12-80

There are

Let

represent the number of groundhogs who have fleas afterdays. Write a differential equation that models the spread of the fleas.Write a general solution to the differential equation.

By partial fraction decomposition:

After integrating:

Keep rewriting to solve for

.Recall that

whenbecause four groundhogs were initially infected. Suppose that after ten days,groundhogs have fleas. Write an equation for in terms of.