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📐 Mathematics  ·  Differential Equations  ·  JEE

A differential equation involves:

Answer: Derivatives of a function.

  • A Algebraic variables without any calculus operations
  • B Derivatives of a function
  • C Integral expressions rather than derivative ones
  • D Constant terms with no variable component

Correct answer: B. Derivatives of a function

Explanation: A differential equation contains derivatives (dy/dx, d²y/dx², etc.) of one or more functions.

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 →