### Home > CALC > Chapter 12 > Lesson 12.2.3 > Problem 12-91

represent the number of groundhogs who have fleas after

*days.*

Write a differential equation that models the spread of the fleas.

Find 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 had fleas. Find a formula for in terms of.