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Determine the order of the given differential equation and state whether the equation is linear or nonlinear. 6(4)−3

User DreamGamer
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Final answer:

Without a clear differential equation provided, it is not possible to determine the order or linearity. However, it is clear that the quadratic equation provided 'y = 10 + 5x - 3x²' is nonlinear because it has a term with the independent variable squared.

Step-by-step explanation:

The order of a differential equation is determined by the highest derivative it contains. However, the information provided does not appear to correspond to a differential equation. There might be a typo or an omission in the question as presented. The given expression '6(4)-3' is not in the form of a differential equation. A differential equation would involve some function and its derivatives. If we consider the question 'Is the equation y = 10 + 5x − 3x² linear? Why or why not?', then we can directly answer. This equation is a quadratic equation because it has a term with x raised to the second power (), which makes it nonlinear. Linear equations are of the form y = mx + b, where m and b are constants, and do not have terms with the independent variable raised to a power higher than one.

User Pyrachi
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