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▶ Algebra
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  - ▶ Ordinary Differential Equations
    
    ODE Credits
    
    ▶ Chapter 01 Basic Concepts
    
    The Differential Equation
    
    The General Solution of a Differential Equation
    
    Direction Field
    
    ▶ Chapter 02 Special Types Of First Order Equations
    
    Meaning of the Differential
    
    First Order Differential Equation with Homogenous Coefficients
    
    Differential Equations with Linear Coefficients
    
    Exact Differential Equations
    
    Recognizable Exact Differential Equations
    
    The Linear Differential Equation
    
    Equations Permitting a Choice of Method
    
    Summary of First Order Differential Equations
    
    ▶ Chapter 03 Problems Leading To First Order Equations
    
    Geometric Problems
    
    Trajectories
    
    Dilution and Accretion
    
    Motion of a Particle Along a Straight Line
    
    Pursuit Curves
    
    Miscellaneous Types of Problems Leading to Equations of the First Order
    
    ▶ Chapter 04 Linear Differential Equations Of Order Greater Than One
    
    Linear Independence of Functions. The Linear Differential Equation of Order n.
    
    Solution of the Homogeneous Linear Differential Equation of Order n with Constant Coefficients
    
    Solution of the Nonhomogeneous Linear Differential Equation of Order n with Constant Coefficients (Method of Undetermined Coefficients)
    
    Solution of the Nonhomogeneous Linear Differential Equation by the Method of Variation of Parameters
    
    Solution of the Linear Differential Equation with Nonconstant Coefficients. Reduction of Order Method.
    
    ▶ Chapter 05 Operators And Laplace Transforms
    
    Differential and Polynomial Operators
    
    Inverse Operators
    
    Solution of a Linear Differential Equation by Means of the Partial Fraction Expansion of Inverse Operators
    
    The Laplace Transform. Gamma Function.
    
    Summary of Methods of Solving Higher Order Linear Differential Equations
    
    ▶ Chapter 06 Problems Leading To Linear Equations Of Order Two
    
    Undamped Motion
    
    Damped Motion
    
    Electric Circuits
    
    ▶ Chapter 90 Series Solutions
    
    Taylor Polynomial Approximations of IVPs
    
    Power Series Solutions to Linear Differential Equations
    
    ▶ Chapter 91 Initial And Boundary Values Problems
    
    Initial and Boundary Value Problems
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    Heat Equation
    
    Separation of Variables
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Nonlinear Dynamics and Chaos Steven H. Strogatz book

3rd Edition2024ISBN: 978-1032665214