In this lesson the Euler family of algorithms will be used to solve the time-discretized ODEs. There are two sort of canonical approaches to solve the time-discretized ODEs written using the Euler family. The first is v-Method and is applied to the equations written using the Euler family. This comes under the predictor-corrector methods and is explained further. Explicit method is shown. Contrast to the Explicit method is the Implicit method which is also called the d-method.