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Prerequisites
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Language of Instruction
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Turkish
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Responsible
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Dr. Emel BOLAT YEŞİLOVA
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Instructors
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Assistants
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Resources
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R1- Ross, Shepley L. (1989). Differential Equations. John Wiley and Sons, New York.
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Supplementary Book
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SR1- Bayram, M. (2002). Diferensiyel Denklemler. Birsen Yayınevi.
SR2- Agarwal, R. P., O` Regan, D. (2008). An Introduction to Ordinary Differential Equations, Springer.
SR3- Aydın, M., Gündüz, G., Kuryel, B., Oturanç, G. (2007). Diferensiyel Denklemler ve Uygulamaları, Fakülteler Barış Yayınları.
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Goals
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The goal of this course is to introduce differential equations, to teach solving methods, to study existence and uniqueness of solutions of initial value problems, to find exact solutions and to examine these solutions.
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Content
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Differential equation, order, degree, solutions and obtaining differential equations, initial and boundary value problems, mathematical models, differential equations by solving derivative: separable equations , homogeneous equations and equations reducible to this form, exact differential equations, integrating factor, linear, Bernoulli and Riccati differential equations, substitution, existence and uniqueness theorems, Clairaut and Lagrange equations, theory of linear differential equations, second order linear homogeneous equations with constant coefficiens, the method of undetermined coefficients, the method of variation of parameters, Cauchy-Euler equation
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