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📐 Mathematics  ·  Differential Equations  ·  JEE

The degree of the differential equation (dy/dx)² + y = 0 is:

Answer: 2.

  • A 2
  • B 1
  • C 0
  • D 3

Correct answer: A. 2

Explanation: Degree is the power of the highest-order derivative once it is a polynomial; here (dy/dx)² gives degree 2.

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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