By signing in you confirm you are 18 or older, or have your parent’s or guardian’s consent.

NDA 2 2025 Maths, question 91

Topic: Differential equations

Q91

What is the degree of the differential equation

(d2ydx2)32=(dydx)52(\frac{d^{2}y}{dx^{2}})^{\frac{3}{2}}=(\frac{dy}{dx})^{\frac{5}{2}}?

  1. (a) 33Correct answer
  2. (b) 22
  3. (c) 52\frac{5}{2}
  4. (d) 32\frac{3}{2}

Solution.

Answer: (a) 33

  1. Remove the fractional powers by squaring: (y″)³=(y′)⁵.
  2. The highest-order derivative is y″, and its polynomial power is 3.
  3. Therefore the degree is 3; the order is 2.