Q251 / 270 · NDA 2015 (Phase 2) · Mathematics

The degree of the differential equation $\frac{d y}{d x}-x=\left(y-x \frac{d y}{d x}\right)^{-4}$ is

  • A
    2
  • B
    3
  • Correct answer
    C
    4
  • D
    5

Solution

$\begin{aligned} & \because \frac{d y}{d x}-x=\left(y-x \frac{d y}{d x}\right)^{-4} \\ & \Rightarrow\left(\frac{d y}{d x}-x\right)\left(y-x \cdot \frac{d y}{d x}\right)^4=1 \end{aligned}$ $\therefore$ Order of the above differential equation $=1$ $\&$ degree $=5$

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

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