Ön Koşul
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Ders Dili
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İngilizce
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Dersin Sorumlusu
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Prof. Dr. Ahmet Yaşar ÖZBAN
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Dersi Verenler
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Ders Yardımcıları
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Assist. Prof. Dr. Şerifenur CEBESOY ERDAL
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Kaynaklar
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[1] Lecture notes [2] Mustafa BAYRAM, Diferensiyel Denklemler, Birsen Yayınevi, 2002. [3] Shepley L. ROSS, Differential Equations, Fourth Edition, John Wiley and Sons, New York, 1989.
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Yardımcı Kitap
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[1] Ravi P. AGARWAL, Donal O` REGAN, An Introduction to Ordinary Differential Equations, Springer, 2008. [2] Mehmet Aydın, Gönül Gündüz, Beno Kuryel, Galip Oturanç, Diferensiyel Denklemler ve Uygulamaları, Fakülteler Barış Yayınları, 2007.
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Dersin Amacı
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The goal of this course is to teach solving methods of linear and nonlinear differential equations, to introduce Laplace transformation, to study boundary value problems and to find solutions by using series.
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Dersin İçeriği
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Second order linear differential equations with variable coefficients, Higher order linear differential equations with variable coefficients, Laplace transforms and properties, Inverse Laplace transforms, The unit step function, Laplace transforms of derivatives, Constant coefficient equations with piecewise continuous forcing functions, Convolution, Volterra`s integral equation, Linear boundary value problems, Green function, Sturm-Liouville problems, Power series solutions about an ordinary point, Frobenius method
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