## Differential Equations Homework Problems With Step

Calculus and Analysis > Differential Equations > General Differential Equations >

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## Differential Equation

A differential equation is an equation that involves the derivatives of a function as well as the function itself. If partial derivatives are involved, the equation is called a partial differential equation; if only ordinary derivatives are present, the equation is called an ordinary differential equation. Differential equations play an extremely important and useful role in applied math, engineering, and physics, and much mathematical and numerical machinery has been developed for the solution of differential equations.

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Calculus and Analysis > Differential Equations > Ordinary Differential Equations >

MathWorld Contributors > Poncini >

## Homogeneous Linear Ordinary Differential Equation with Constant Coefficients

A homogeneous linear ordinary differential equation with constant coefficients is an ordinary differential equation in which coefficients are constants (i.e., not functions), all terms are linear, and the entire differential equation is equal to zero (i.e., it is homogeneous).

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Mathematica » The #1 tool for creating Demonstrations and anything technical. | Wolfram|Alpha » Explore anything with the first computational knowledge engine. | Wolfram Demonstrations Project » Explore thousands of free applications across science, mathematics, engineering, technology, business, art, finance, social sciences, and more. |

Computerbasedmath.org » Join the initiative for modernizing math education. | Online Integral Calculator » Solve integrals with Wolfram|Alpha. | Step-by-step Solutions » Walk through homework problems step-by-step from beginning to end. Hints help you try the next step on your own. |

Wolfram Problem Generator » Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet. | Wolfram Education Portal » Collection of teaching and learning tools built by Wolfram education experts: dynamic textbook, lesson plans, widgets, interactive Demonstrations, and more. | Wolfram Language » Knowledge-based programming for everyone. |

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