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    ❯

    2. Calculus I

    ❯

    Week 6 Differential Equations

    ❯

    1. Fundamental Concepts

    1. Fundamental Concepts

    May 09, 20252 min read

    • Definition of a differential equation ⇐ 1 Introduction to Differential Equations
    • Independent and dependent variables ⇐ 1 Introduction to Differential Equations
    • Order of a differential equation ⇐ 1 Introduction to Differential Equations
    • Initial value problems ⇐ 1 Introduction to Differential Equations
    • Initial conditions ⇐ 1 Introduction to Differential Equations
    • Posing initial value problems ⇐ 1 Introduction to Differential Equations
    • Equilibrium for a differential equation ⇐ 2 Direction Fields
    • Autonomous differential equations ⇐ 2 Direction Fields
    • Direction fields ⇐ 2 Direction Fields
    • General and particular solutions ⇐ 3 Separable Differential Equations
    • First order separable differential equations ⇐ 3 Separable Differential Equations
    • First order linear differential equations ⇐ 4 First Order Linear Differential Equations
    • Second order linear differential equations ⇐ 5 Linear Second Order Differential Equations
    • Second order linear differential equations with constant coefficients ⇐ 5 Linear Second Order Differential Equations
    • Mass-spring-damper model ⇐ 5 Linear Second Order Differential Equations and 7 Context Example for Non-Homogeneous Equations
    • Homogeneous second order linear differential equation with constant coefficients ⇐ 6 Homogeneous Second Order Linear Differential Equations with Constant Coefficients
    • Ansatz method of undetermined coefficients ⇐ 8 Method of Undetermined Coefficients
    • Approximation of solutions of initial value problems by Taylor polynomials ⇐ 9 Approximation by Taylor Polynomials

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