Zaymiey

📐 Mathematics  ·  Differential Equations  ·  JEE

The order of the differential equation dy/dx = x + y is:

Answer: 1.

  • A 1
  • B 2
  • C 0
  • D 3

Correct answer: A. 1

Explanation: The highest derivative is the first derivative dy/dx, so the order is 1.

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 →