Find two linearly independent series solutions for the given differential equation: Solve the given initial value problem using Laplace transformation: […]

Observation 1. Suppose we are given a function and we would like to compute We start the process using the definition of the Laplace transformation followed […]

Example 1. Consider the linear second order differential equation (1) We know is an ordinary point of with infinite radius of convergence and so we […]

Example 1. Consider the linear second order differential equation (1) We know the point is an ordinary point of this equation. So Existence of Power […]