Home > APCALC > Chapter 12 > Lesson 12.2.2 > Problem 12-80
There are
Let
represent the number of groundhogs who have fleas after days. 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
when because four groundhogs were initially infected. Suppose that after ten days, groundhogs have fleas. Write an equation for in terms of .