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An illustration of a differential equation. The arrows show how the differential equation locally influences a state, while the lines display how specific solutions are determined by starting conditions (red dots).
 

There are 5 summaries on Differential equation.

Encyclopedia and Summary Information
summary from source:
Differential Equations Summary
737 words, approx. 3 pages
A differential equation is a mathematical relationship which contains one or more derivatives of a function. The solution of the differential equation is the original function. These equations are often used in scientific applications, particularly in...
summary from source:
First-Order Ordinary Differential Equations Summary
577 words, approx. 2 pages
Ordinary differential equations, sometimes abbreviated as ODEs, are equations comprised of a function containing an unknown and the derivatives of that function. Since the order of an ordinary differential equation is the order of the highest-order...
summary from source:
Differential Equation Summary
112 words, approx. 0 pages
Mathematical statement that contains one or more derivatives. It states a relationship involving the rates of change of continuously changing quantities modeled by functions. Differential equations are very common in physics, engineering, and all...
summary from source:
Differential Summary
102 words, approx. 0 pages
In calculus, an expression based on the derivative of a function, useful for approximating certain values of the function. The differential of an independent variable &math.x;, written Δ&math.x;, is an infinitesimal change in its value. The...
summary from source:
Differential equation Summary
1,438 words, approx. 5 pages
A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and of its derivatives of various orders. Differential equations play a prominent role in engineering,...


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