MATH 2107 • Tüm Sınavlar • Differential Equations
Differential ile alakalı HUB!
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Eğitmenler
Dorukhan Özcan
Co-Founder & CEO
Unicourse şirketinin kurucu ortağıyım. 2016 senesinde Galatasaray Lisesinden mezun oldum. Geçtiğimiz dört sene içerisinde 2000 saatten fazla ders anlattım. Anlattığım dersler sırasıyla; Calculus, Çok değişkenli Calculus, Lineer Cebir, Differansiyel Denklemler, Uygulamalı İstatistik ve Stokastik Modelleme dersleridir. Doping Hafıza şirketinde 2017 - 2022 seneleri arasında CEO danışmanlığı yaptım. Koç Üniversitesi Endüstri Mühendisliği ve Ekonomi çift anadal programını tam burslu olarak, 3.96/4.00 not ortalamasıyla bitirdim. Kadıköy Modalıyım.
Tolga Temiz
Eğitmen
2016 senesinde başladığım Koç Üniversitesi Matematik bölümünden 2020 senesinde fakülte üçüncüsü olarak mezun oldum. Lisans ve yüksek lisans eğitimlerim boyunca çeşitli derslerde asistanlık yaptım. 2021'de Koç Üniversitesi'nde Matematik yüksek lisansına başladım ve 2023 yılında mezun oldum. Şimdi Michigan State Üniversitesi'nde doktora yapıyorum. Topoloji alanıyla ilgilenmekteyim.
Geçme Garantisi
Derslerimize güveniyoruz. Olur da sınavlarına bizimle hazırlandığın halde dersten kalırsan, iade alabilirsin. Koşullar
Konular
Introduction
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Introduction: Classification of Differential Equations
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Linear First Order Equations
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Integrating Factor Method
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Separable Differential Equations
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Separable Equations
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Existence and Uniqueness Theorem
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Existence and Uniqueness Theorem
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Bernoulli Equation
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Bernoulli Equations
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Homogeneous Differential Equations
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Homogeneous Equations
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Other Substitution Techniques
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Case 1: Given Substitution
Case 2: Equations of the form F(ax + by + c)
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Ricatti Equations
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Ricatti Equations
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Applications: Modeling with Differential Equations
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Modeling with Diff. Eqns. (Applications)
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Exact Differential Equations
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Exact Differential Equations I
Exact Differential Equations II
Exact Differential Equations III
Non-Exact Equation & Integrating Factor I
Non-Exact Equation & Integrating Factor II
Non-Exact Equation & Integrating Factor III
Non-Exact Equation & Integrating Factor IV
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Second Order Differential Equations
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Homogeneous Equations with Constant Coefficient 1
Homogeneous Equations with Constant Coefficient 2
Homogeneous Equations with Constant Coefficient 3
Homogeneous Equations with Constant Coefficient 4
Two Complex Roots I
Two Complex Roots II
Repeated Roots
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The Wronskian Determinant
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Wronskian Determinant 1
Wronskian Determinant 2
Fundamental Set of Solution 1
Fundamental Set of Solution 2
Wronskian and Linear Independence
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Reduction of Order
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Reduction of Order I
Reduction of Order II
Reduction of Order III
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Variation of Parameters
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Variation of Parameter 1
Variation of Parameter 2
Variation of Parameter 3
Variation of Parameter 4
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Method of Undetermined Coefficient
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Undetermined Coefficients 1
Undetermined Coefficients 2
Undetermined Coefficients 3
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D metodu - Konu Anlatımı
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High Order Linear Equations
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General Theory of nth Order DEs (Wronskian)
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Homogeneous DEs with Constant Coefficients
The Method of Undetermined Coefficients
The Method of Variation of Parameters
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Power Series Solution of Second Order Equations
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What is a Power Series?
Convergence of a Power Series
Power Series Solution of Second Order Equations 1
Power Series Solution of Second Order Equations 2
Power Series Solution of Second Order Equations 3
Power Series Solution of Second Order Equations 4
Power Series Solution of Second Order Equations 5
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Regular Singular Points and Euler Equations
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Solution Near an Regular Singular Point-1
Classification of Singular Points
Solution Near an Regular Singular Point-2
Euler Equation-1
Euler Equation-2
Euler Equation-3
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The Laplace Transform
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The Laplace Transform 1
The Laplace Transform 2
The Laplace Transform 3
The Laplace Transform 4
Inverse Laplace Transform 1
Inverse Laplace Transform 2
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Solving Differential Equations by Laplace Transform
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Laplace Transform of Derivative
Laplace Transform and Initial Value Problems 1
Laplace Transform and Initial Value Problems 2
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Step Functions and IVP
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Step Functions 1
Step Functions 2
Step Functions 3
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Initial Value Problems with Step Functions 1
Initial Value Problems with Step Functions 2
Initial Value Problems with Step Functions 3
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The Convolution Integral
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The Convolution Integral 1
The Convolution Integral 2
The Convolution Integral 3
Initial Value Problems with Convolution Integral 1
Initial Value Problems with Convolution Integral 2
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Linear Algebra Review (Hiç hatırlamayanlar)
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Matrix Equations and Augmented Matrix
Homogeneous Linear Systems
Inverse of a Matrix
Eigenvalues & Eigenvectors: 3 Vital Steps
Eigenvalues & Eigenvectors: A Special Tip
A Matrix with Irrational Eigenvalues
Complex Eigenvalues
Complex Eigenvalues-2
Linear Algebra Review (Temelim sağlam diyenler)
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Eigenvalues & Eigenvectors: 3 Vital Steps
Eigenvalues & Eigenvectors: A Special Tip
A Matrix with Irrational Eigenvalues
Complex Eigenvalues
Complex Eigenvalues-2
Systems of First Order Differential Equations
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Introduction
Homogeneous Systems: Distinct Real Eigenvalues 1
Homogeneous Systems: Distinct Real Eigenvalues 2
Homogeneous Systems: Complex Eigenvalues 1
Homogeneous Systems: Complex Eigenvalues 2
Homogeneous Systems: Repeated Eigenvalues 1
Homogeneous Systems: Repeated Eigenvalues 2
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Fundamental Matrix
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Fundamental Matrices
Solving systems with Fundamental Matrices
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Non-homogeneous Systems Part I
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Linear Algebra: Nonhomogeneous Systems
Non-hom. Systems: Given Particular Solution
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Review of Diagonalization
Method of Diagonalization I
Method of Diagonalization II
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Non-homogeneous Systems Part II
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Variation of Parameters Method 1
Variation of Parameters Method 2
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Boundary Value Problems: Eigen-Functions
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Eigen-Functions 1
Eigen-Functions 2
Eigen-Functions 3