Israel Michael Sigal

MAT244H1 Lecture 3: Second-order Linear Differential

MAT244H1 Lecture 5: MAT244H1 Lecture 4: MAT244H1 Lecture : MAT244H1 Lecture : lecture4

MAT244H1 Lecture 7: Lecture 7

MAT244H1 Lecture 11: system of 1st order linear equations

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First order ordinary differential equations: Direction fields, integrating factors, separable equations, homogeneous equations, exact equations, autonomous equations, modeling. Existence and uniqueness theorem. Higher order equations: Constant coefficient equations, reduction of order, Wronskian, method of undetermined coefficients, variation of parameters. Solutions by series and integrals. First order linear systems, fundamental matrices. Non-linear equations, phase plane, stability. Applications in life and physical sciences and economics.

Introduction to Ordinary Differential Equations

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