Q89 / 120 · NDA 2024 (Phase 2) · Mathematics

Paragraph: Let $y d x+\left(x-y^3\right) d y=0$ be a differential equation.
Question: What are the order and degree respectively of the differential equation?

  • Correct answer
    A
    1 and 1
  • B
    1 and 2
  • C
    2 and 1
  • D
    1 and 3

Solution

Given differential equation is $\begin{aligned} & y d x+\left(x-y^3\right) d y=0 \Rightarrow \frac{d y}{d x}=\frac{y}{y^3-x} \\ & \text { Order }=1, \text { degree }=1 \end{aligned}$

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

Relevant Questions