STUDI PENYELESAIAN PERSAMAAN DIFERENSIAL MENGGUNAKAN METODE TRANSFORMASI LAPLACE
DOI:
https://doi.org/10.24114/jmk.v2i1.8668Abstract
ABSTRAK Salah satu metode untuk menyelesaikan solusi dari persamaan diferensial adalah dengan menggunakan metode trasformasi Laplace. Suatu kelebihan metode transformasi Laplace adalah bahwa metode ini dapat menentukan solusi dari persamaan diferensial dengan lebih singkat. Pemodelan matematika untuk masalah rangkaian listrik RC menghasilkan persamaan . Penyelesaian bentuk transformasi Laplace dari masalah nilai batas pada persamaan rangkaian listrik RC adalah sedangkan pemodelan matematika untuk masalah rangkaian listrik RLC dengan arus sebagai peubah adalah , penyelesaian bentuk transformasi Laplacenya dari masalah nilai batas pada persamaan rangkaian listrik RLC adalah , untuk masalah nilai batas pada persamaan rangkaian RLC dengan tegangan sebagai peubah adalah . Kata Kunci : Persamaan diferensial, Rangkaian listrik RC, Rangkaian listrikRLC, transformasi Laplace ABSTRACT Raw material inventory control has a positive impact to support the smooth production process in one of the company's profit increase coffee production at UD. IDA Sidikalang. This study aims to determine the number of purchases of raw materials are the most economical, knowing the right time to buy raw materials coffee. In this study to analyze the first data used to test data normality test Liliefors where the normal distribution of data. Data obtained from UD. IDA Sidikalang indicate that the inventory cost of Rp 3,618,375, -. The cost is greater than the cost of which was obtained by the EOQ model that is Rp 2,321,791, -. Order quantity as much as 867 kg in one booking, whereas when calculated using the EOQ model be 1,935 kg in one booking. The frequency of booking reservations company 48 times in a year whereas when calculated using the EOQ model to 22 times booking and Reorder Point of 637 kg, safety stock of 295 kg and a maximum of 2230 kg inventories. Keywords: Inventories, EOQ, Test Liliefors
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2018-01-04
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