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Formation of a Differential Equation from a General Solution

The order of ...

Question

The order of the differential equation representing the family of parabolas y² - 4ax is ________________.

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Solution

In the given equation y² − 4ax, a is the only parameter.

Therefore, the order of the differential equation = 1

Hence, the order of the differential equation representing the family of parabolas y² − 4ax is 1.

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