Identify the order of the differential equation for the family of all straight lines passing through the origin. A. 1 B. 2 C. 3 D. 0 Answer: A) 1 Explanation: The family of lines through the origin is y = mx. There is exactly 1 arbitrary constant (m). Therefore, the order of its differential equation is 1.

imo class 12 differential equations

Identify the order of the differential equation for the family of all straight lines passing through the origin.

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Identify the order of the differential equation for the family of all straight lines passing through the origin.

A. 1
B. 2
C. 3
D. 0

Answer: A) 1

Explanation: The family of lines through the origin is y = mx. There is exactly 1 arbitrary constant (m). Therefore, the order of its differential equation is 1.

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