Study on Modified Unit Step Function and Solution of Trigonometric and Logarithmic Function Using Laplace Transform

Yadav Saiganesh R., Dr. R. N. Ingle

Abstract: Role of mathematics flawless in day to day life. Laplace transform is one of the tool used by mathematician and researcher to finding the solution to their problems. In this paper we fascinated to discuss about properties and uses of Laplace Transform in various field, also find solutions of trigonometry functions, logarithmic functions using Laplace Transform. Some of the important properties are detailed deeply in this paper with proof, with effective examples are also mentioned in this paper.

Keywords: Modified unit step function, Trigonometric functions, Logarithmic functions, Differential equation, Algebric equation