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1 year ago

Question 2

Engineering

1 answer:

Neko [114]1 year ago

6 0

A differential equation that represents the system is

using Newtons law of motion

Mx: - (-cx· - kx + F)

Mx: + cx· + kx - F

250x: + 100x· + 640x = 10 sin (2t)

<h3>What is a differential equation?</h3>

An equation that connects one or more unknown functions and their derivatives is known as a differential equation in mathematics. In practical settings, functions typically represent physical quantities, derivatives their rates of change, and the differential equation establishes a connection between the two.

Differential equations are widely used in many fields, including engineering, physics, economics, and biology, as a result of the prevalence of these relationships.

Studying differential equations primarily entails learning about the solutions—the collection of functions that satisfy each equation—and the solutions' characteristics. The only differential equations that can be solved with explicit formulas are the simplest; however, many properties of a given differential equation's solutions can be determined without performing an exact calculation.

Learn more about differential equations

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