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📐 Mathematics  ·  Differential Equations  ·  JEE

A differential equation of order 2 has how many arbitrary constants in general solution?

Answer: 2.

  • A 0
  • B 1
  • C 2
  • D 3

Correct answer: C. 2

Explanation: An nth order DE has n arbitrary constants in the general solution.

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 →