1. a) Find the velocity of the particle at t=8 seconds. a) Find the position of the particle at t=4 seconds. WARMUP

2. Separable Differential Equations

4. Example: Solve the differential equation. Combined constants of integration

5. Example 9: Separable differential equation Combined constants of integration

6. Example 9: We now have y as an implicit function of x. We can find y as an explicit function of x by taking the tangent of both sides. Notice that we can not factor out the constant C, because the distributive property does not work with tangent.