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NDA 2017
Exam
NDA
Year
2017
Subject
Mathematics
Chapter
Differential Equations

NDA 2017 · Mathematics · Differential Equations

The order and degree of the differential equation [1+((d y)/(d...

The order and degree of the differential equation \left[1+\left(\frac{d y}{d x}\right)^2\right]^3=\rho^2\left[\frac{d^2 y}{d x^2}\right]^2 \quad$ are respectively

Options

  1. A3 and 2
  2. B2 and 2
  3. C2 and 3
  4. D1 and 3

Correct answer

B. 2 and 2

Step-by-step solution

Degree of a differential equation is power of the highest order derivative. In the given differential equation, \left[1+\left(\frac{d y}{d x}\right)^2\right]^3=\rho^2[d2ydx2]2\left[\frac{d^2 y}{d x^2}\right]^2 order =2=2 and degree =2=2.
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