Solution Non Linear Equation Singularly Perturbed Of First Order Ode On Argument In Critical Case

Abstract

In this paper we have a first order ODE that contain a small argument in front of the derivative was the same as power  argument in  both of right – left hand equation, and we define asymptotic solution using this argument of the power 0 and 1. Also we prove that there exists a unique solution of the main equation.

Key words : ordinary differential equation, singularly perturbed problems, asymptotic solution method.