Q73 / 170 · Manipal (MET) 2017 · Mathematics

The degree of the differential equation $\left[5+\left(\frac{d y}{d x}\right)^2\right]^{\frac{5}{3}}=x^5\left[\frac{d^2 y}{d x^2}\right]$ is

  • A
    4
  • Correct answer
    B
    3
  • C
    5
  • D
    10

Solution

$\left[5+\left(\frac{d y}{d x}\right)^2\right]^{5 / 3}=x^5\left[\frac{d^2 y}{d x^2}\right]$ $\Rightarrow \left[5+\left(\frac{d y}{d x}\right)^2\right]^5=x^{15}\left[\frac{d^2 y}{d x^2}\right]^3$ $\therefore$ Degree $=3$

Hence, the correct answer is option: 'B'.

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