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📐 Mathematics  ·  Differential Equations  ·  JEE

The order of a differential equation is the order of its:

Answer: Highest derivative.

  • A Highest power
  • B Highest derivative
  • C Number of variables
  • D Number of constants

Correct answer: B. Highest derivative

Explanation: Order = order of the highest derivative present. For d²y/dx² + dy/dx = 0, the order is 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

Read the full Differential Equations notes →