The Existence and Uniqueness Theorem for Solutions to ODEs - Rhea

Before starting this tutorial, you are supposed to be able to:

· Find an explicit solution for $ \frac{dy}{dt}=f(t) $. This is the same thing as finding the integral of $ f(t) $ with respect to $ t $.

· Know the difference between general solution and a solution satisfying the initial conditions.

· Check one function is a solution to an ODE.

· Distinguish ODE and PDE, know the usual notations.

· Know the basic concepts of ODEs (order, linearity, homogeneity, etc).