Get Answers to all your Questions

header-bg qa

Need Solution for R.D.Sharma Maths Class 12 Chapter 21 Differential Equations Exercise Revision Exercise Question 16 Maths Textbook Solution.

Answers (1)

Answer: \frac{d^{3}y}{dx^{3}}=0

Hint: You must know about the equation of all parabola

Given:  equation of all parabolas which have their axes parallel to y-axis is \frac{d^{3}y}{dx^{3}}=0

Solution: Equation of the family of parabolas having axis parallel to y-axis is given by

 \left ( x-n \right )^{2}=4b\left ( y-k \right )..where n,k are constants

Differentiating w.r.t to x,2\left ( x-n \right )=4b\frac{dy}{dx}

\left ( x-n \right )=2b\frac{dy}{dx}

Differentiating again,  1=2b\left ( \frac{d^{2}y}{dx^{2}} \right )

Again Differentiating, 0=2b\left ( \frac{d^{3}y}{dx^{3}} \right )

i.e.\frac{d^{3}y}{dx^{3}}=0

Posted by

infoexpert21

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads