Differential Equations Help - Learn by Concept

Learn by Concept

Concepts

• Differential Equations

  • First-Order Differential Equations

    • Linear & Exact Equations

    • Separable Variables

  • Higher-Order Differential Equations

    • Linear Equations

    • Modeling Higher-Order Differential Equations

    • Undetermined Coefficients

    • Variation of Parameters

  • Introduction to Differential Equations

    • Definitions & Terminology

    • Initial-Value Problems

    • Mathematical Models

  • Numerical Solutions of Ordinary Differential Equations

    • Euler Method

    • Multi-step Methods

    • Second-Order Boundary-Value Problems

  • System of Linear First-Order Differential Equations

    • Homogeneous Linear Systems

    • Matrix Exponentials

    • Nonhomogeneous Linear Systems

  • The Laplace Transform

    • Definition of Laplace Transform

    • Transforms of Periodic Functions

• Partial Differential Equations

  • First Order PDEs

    • Linear & Quasi-Linear PDEs

  • Introductions to PDEs

    • Derivatives from Conservation Laws

    • Existence & Uniqueness

    • Initial & Boundary Value Problems

  • Second Order Linear PDEs

    • Heat Equations

    • Separation of Variables

    • Wave Equations