APLIKASI TRANSFORMASI LAPLACE PADA PERSAMAAN DIFERENSIAL ORDE DUA UNTUK PENDULUM SEDERHANA DAN PENDULUM FISIS

Rizqona Maharani

Abstract


The purpose of this paper is to determine the solution of second-order linier differential equation for simple and physical pendulum motion. Based on the analysis of force components, the pendulum motion forms a  homogeneous second-order linier differential equation with constant coefficients denoted by  . The method used to solve the second-order linier differential equation is the Laplace Transform. The choice of method is based on the ease of solving the initial value problems by changing domain t with domain s using algebraic equations or using tables that contain laplace transform. The result of this paper is solution of second-order linier differential equation by using laplace transform which in form  

 

Then, the solution can be used to determine the equation of pendulum motion which include the equation of displacement, velocity, and acceleration of the simple and physical pendulum.  


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