Initial value problem

Introduction:

In this class, the Initial value problem will be discussed. 

In the field of differential equations, an initial value problem (also called a Cauchy problem by some authors) is an ordinary differential equation together with a specified value, called the initial condition, of the unknown function at a given point in the domain of the solution. In physics or other sciences, modeling a system frequently amounts to solving an initial value problem; in this context, the differential initial value is an equation that is an evolution equation specifying how, given initial conditions, the system will evolve with time.

Objectives:

• Recognize an initial value problem
• solve initial value problem of the linear differential equation with constant coefficients
• application of initial value problem

Lesson Plan:

• Discussion from a lecture slide
  
• Problem-solving
  
• Group Work
  
• Question and Answering
• Home Work