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**1. Homework Statement**

You have a bank account with Y amount of dollars. The interest on it is 5% a year. Every year, you extract 3,350 dollars to pay for college tuition. What is the smallest amount Y can be to allow you to pay for 4 years of college? (Use Calculus Methods)

**2. Homework Equations**

General Differential Equation stuff.

**3. The Attempt at a Solution**

Now, I believe an appropriate Differential Equation for this problem would be...

dy/dt = 0.05y - 3,350

t will be 4 and y will be 0, ultimately.

In class today, we got to the point where you divide both numbers by 0.05 so you get...

dy/dt = y - 67000

Or something. Now we don't know where to go. Help?