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1 year, 6 months ago via calculus-questions.com

What are differential equations?

And what do they have to do with calculus?
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hecate | 1 year, 4 months ago
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A differential equation is a function use in mathematics that includes one or several variables. This equation helps one to figure out the values of the function itself as well as the deriatives of various orders. Differential equations are used mainly in engineering, physics and economics. They are used when there is a need to determine a relationship between a varying quantity and their rates of change in time and space. An example is the use of differential equation to find out a motion of a body described by its position and velocity as time varies.

Differential equations are also used in differential calculus. Differential calculus is used to study the rate where quantities change. As such, it also makes use of a function as well as variables. Differential calculus and differential equations are essentially one and the same, since they both involve derivatives.

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