1. Exponential Growth and Decay 6.4

2. Separation of Variables When we have a first order differential equation which is implicitly defined, we can try to use a method called separation of variables to solve the equation.

3. Separation of Variables Goal: get all y’s on one side (including dy) and all x’s on the other side (including dx). Once I have done this I integrate each side with respect to the appropriate variable and solve for y. Note: you MUST be multiplying each side by dy or dx. You cannot be adding, subtracting, or dividing.

4. Example Find the particular solution to the equation given that y=1 when x=1.

5. Example Given y(0) = 1, find the particular solution of.

6. Example Find the equation of the curve passing through (1, 3) that has a general slope of.

7. Example Find the general solution of.

8. Homework Pg 357 #1-10