The differential equation representing the family of curves y = cx + c² (where c is an arbitrary constant) has a degree of: A. 1 B. 2 C. 3 D. Not defined Answer: B) 2 Explanation: Differentiating y = cx + c² gives dy/dx = c. Substitute c back: y = x(dy/dx) + (dy/dx)². The highest order derivative is dy/dx (order 1) and its highest power is 2. Hence, degree is 2.

imo class 12 differential equations

The differential equation representing the family of curves y = cx + c² (where c is an arbitrary constant) has a degree of:

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The differential equation representing the family of curves y = cx + c² (where c is an arbitrary constant) has a degree of:

A. 1
B. 2
C. 3
D. Not defined

Answer: B) 2

Explanation: Differentiating y = cx + c² gives dy/dx = c. Substitute c back: y = x(dy/dx) + (dy/dx)². The highest order derivative is dy/dx (order 1) and its highest power is 2. Hence, degree is 2.

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