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📐 Mathematics  ·  Differential Equations  ·  JEE

The degree of (dy/dx)³ + y = 0 is:

Answer: 3.

  • A 1
  • B 2
  • C 3
  • D 0

Correct answer: C. 3

Explanation: Highest derivative is dy/dx with power 3. Degree = 3.

Family of Solution Curves: y = Ax²Each value of the constant A gives ONE particular curve from the family

The general solution y=Ax² represents an entire FAMILY of curves, one for each value of the arbitrary constant A; a particular solution (fixed by an initial condition) selects exactly one curve from this family.

Concept context

Equations involving derivatives and their solutions

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