Waluya, S. B. METODE MULTIPLE TIME SCALE UNTUK PENYELESAIAN PERSAMAAN DIFERENSIAL TAK LINEAR SISTEM DOUBLE SHOCKBREAKER. UNNES Journal of Mathematics, 1 (2). pp. 79-85. ISSN 2252-6943

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Abstract

The linear differential equation appears in a number of real life phenomenon models. The two-order linear differential equation holds an important line in movement process, mainly in mass spring system. Within the automotive aspect it is known as double shockbreaker in motorcycle which analogy be as a parallel�mounted spring system with one load and therefore formed an equation of a math model. The math model is in the form of case equation in a balanced state and the case with friction as the damper. The most frequent main problem is that is hard to find a scientific solution (analytic) from the math model so a perturbation model is needed to solve it. One of the applicable perturbation techniques is the Multiple Time Scale method. This method results in a temporary solution and approximation which is similar to the scientific method, whereas it could be seen that from the solution plot resulted by this method is similar with the solution of equation resulted from Fourth Order Runge Kutta method. Therefore, an accurancy comparison of the results is done between Multiple Time Scale method with Fourth Order Rungge Kutta method solution plot

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