?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=STUDI+TRANSFORMASI+SAWI+DAN+APLIKASINYA+DALAM%0D%0APENYELESAIAN+SISTEM+PERSAMAAN+DIFERENSIAL+BIASA%0D%0A(PDB)+LINIER&rft.creator=++ELVINA++%2C+HALIM&rft.subject=001+Ilmu+pengetahuan&rft.subject=370+Pendidikan&rft.description=There+are+many+problems+in+nature+whose+solutions+are+obtained+through+mathematical+concepts.%0D%0AOne+of+the+most+common+mathematical+concepts+is+a+mathematical+concept+classified+in+an+initial%0D%0Avalue+problem%2C+for+example%2C+a+system+of+ordinary+differential+equations+equipped+with+initial+values.%0D%0AOne+tool+that+can+solve+the+initial+value+problem+is+the+Sawi+transform.+This+thesis+describes+the%0D%0Astudy+of+initial+value+problems+in+the+form+of+a+system+of+linear+ordinary+differential+equations+and%0D%0Atheir+solution+using+the+Sawi+transform.+In+addition%2C+as+part+of+implementing+the+theory+produced+in%0D%0Athis+thesis%2C+2+(two)+case+examples+were+selected+(a+first-order+chemical+reaction+system+with+three%0D%0Acertain+chemicals+and+a+mass-spring+system+with+forced+motion)+to+be+solved+using+the+Sawi%0D%0Atransform.+For+the+problem+solution+to+be+interpreted+and+simple+in+understanding%2C+in+the+2+(two)%0D%0Acase+studies+discussed+and+focused+on+the+concentration+of+the+reacting+chemical%2C+simulations+were%0D%0Acarried+out+for+several+different+initial+values+and+reaction+rate+constants.+Compared+with+other%0D%0Amethods+(Laplace+transform)%2C+the+results+obtained+from+using+the+Sawi+transform+for+the+cases%0D%0Adiscussed+show+that+the+analytic+solutions+for+the+selected+initial+values+have+similar+solutions.%0D%0AKeywords+%3A+Sawi+Transform%2C+System+of+Linear+Ordinary+Differential+Equations%2C+Inverse+Sawi%0D%0ATransform%2C+First+Order+Chemical+Reaction+System%2C+Forced+Motion+Mass-Spring%0D%0ASystem%0D%0A%0D%0ATerdapat+banyak+persoalan+di+alam+yang+solusinya+diperoleh+melalui+konsep+matematika.+Salah+satu%0D%0Akonsep+matematika+yang+banyak+dijumpai+adalah+konsep+matematika+yang+diklasifikasikan+dalam%0D%0Asebuah+masalah+nilai+awal%2C+misalnya+sistem+persamaan+diferensial+biasa+yang+dilengkapi+dengan%0D%0Anilai-nilai+awal.+Salah+satu+alat+yang+dapat+digunakan+dalam+menyelesaikan+masalah+nilai+awal+yang%0D%0Adimaksud+adalah+transformasi+Sawi.+Dalam+skripsi+ini+dideskripsikan+studi+tentang+studi+masalah%0D%0Anilai+awal+dalam+bentuk+sistem+persamaan+diferensial+biasa+linier+dan+solusinya+menggunakan%0D%0Atransformasi+Sawi.+Selain+itu%2C+sebagai+bagian+dari+implementasi+teori+yang+dihasilkan+dalam+skripsi%0D%0Aini%2C+dipilih+2+(dua)+contoh+kasus+(sistem+reaksi+kimia+orde+satu+dengan+tiga+zat+kimia+tertentu+dan%0D%0Asistem+pegas+massa+dengan+gerak+paksa+(forced+motion)+untuk+diselesaikan+dengan+menggunakan%0D%0Atransformasi+Sawi.+Agar+solusi+permasalahan+dapat+diinterpretasikan+dan+sederhana+dalam%0D%0Apemahamannya+maka+pada+2+(dua)+studi+kasus+yang+dibahas+dan+difokuskan+pada+konsentrasi+zat%0D%0Akimia+yang+bereaksi%2C+dilakukan+simulasi+untuk+beberapa+nilai+awal+dan+konstanta+laju+reaksi+yang%0D%0Aberbeda.+Jika+dikomparasikan+dengan+metode+lain+(transformasi+Laplace)%2C+hasil+yang+diperoleh+dari%0D%0Apenggunaan+transformasi+Sawi+terhadap+kasus+yang+dibahas+menunjukan+bahwa+solusi+analitik%0D%0Auntuk+nilai+awal+yang+dipilih+memiliki+kemiripan+solusi.%0D%0AKata+kunci+%3A+Transformasi+Sawi%2C+Sistem+Persamaan+Diferensial+Biasa+Linier%2C+Sistem+Reaksi+Kimia%0D%0AOrde+Satu%2C+Sistem+Pegas+Massa+Gerak+Paksa&rft.publisher=FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAHUAN+ALAM&rft.date=2023-03-15&rft.type=Skripsi&rft.type=NonPeerReviewed&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F70632%2F1%2FABSTRAK.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F70632%2F3%2FSKRIPSI%2520FULL.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F70632%2F2%2FSKRIPSI%2520TANPA%2520BAB%2520PEMBAHASAN.pdf&rft.identifier=+++ELVINA+%2C+HALIM++(2023)+STUDI+TRANSFORMASI+SAWI+DAN+APLIKASINYA+DALAM+PENYELESAIAN+SISTEM+PERSAMAAN+DIFERENSIAL+BIASA+(PDB)+LINIER.++FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAHUAN+ALAM%2C+UNIVERSITAS+LAMPUNG.+++++&rft.relation=http%3A%2F%2Fdigilib.unila.ac.id%2F70632%2F