Q219 / 270 · NDA 2023 (Phase 2) · Mathematics

What are the order and the degree respectively of the differential equation $x^2\left(\frac{d^3 y}{d x^3}\right)^2+\left(\frac{d y}{d x}\right)^4+\sin x=0 ?$

  • A
    3, 4
  • B
    1, 4
  • C
    2, 2
  • Correct answer
    D
    3, 2

Solution

$\begin{aligned} & \text { Order = 3} \\ & \text {degree }=2\end{aligned}$

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

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