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Second-Order Ordinary Differential Equation

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A second-order ordinary differential equation is an ordinary differential equation that contains derivatives of second order but of no higher orders.

Second-order ordinary differential equation is a college-level concept that would be first encountered in a differential equations course.

Examples

Bessel Function of the First Kind: A Bessel function of the first kind is a solution to a particular nonlinear second-order differential equation. Bessel functions appear in many physics applications when solving classical partial differential equations in cylindrical coordinates.

Prerequisites

Derivative: A derivative is the infinitesimal rate of change in a function with respect to one of its parameters.
Differential Equation: A differential equation is an equation that involves the derivatives of a function as well as the function itself.
Ordinary Differential Equation: An equality involving a function and its derivatives.

Classroom Articles on Differential Equations (Up to College Level)

  • Euler Forward Method
  • Partial Differential Equation
  • Fourier Transform
  • Separation of Variables
  • Laplace Transform
  • Slope Field