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Prerequisites
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Language of Instruction
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English
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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- Boyce, W. E., & Diprima, R. C. (2010). Ordinary Differential Equations and Boundary Value Problems. John Willey and Sons. Inc.
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Supplementary Book
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SR1-Lecture notes
SR2-Bronson, R., & Costa, G. B. (2014). Schaum`s outline of differential equations. McGraw-Hill Education.
SR3-Edwards, C. H., Penney, D. E., & Calvis, D. T. (2016). Differential equations and boundary value problems. Pearson Education Limited.
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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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