Q238 / 270 · NDA 2012 (Phase 1) · Mathematics

What is the degree of the differential equation $y=x \frac{d y}{d x}+\left(\frac{d y}{d x}\right)^{-1} ?$

  • A
    1
  • Correct answer
    B
    2
  • C
    -1
  • D
    Degree does not exist

Solution

$y=x \frac{d y}{d x}+\left(\frac{d y}{d x}\right)^{-1}$ Multiply by $\frac{d y}{d x} \quad y=\frac{d y}{d x}=x\left(\frac{d y}{d x}\right)^2+1$ degree $\rightarrow 2$.

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

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