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NDA 2024
Exam
NDA
Year
2024
Subject
Mathematics
Chapter
Differential Equations

NDA 2024 · Mathematics · Differential Equations

Paragraph: Let y d x+(x-y^3) d y=0 be a differential equation....

Paragraph: Let ydx+(x−y3)dy=0y 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?

Options

  1. A1 and 1
  2. B1 and 2
  3. C2 and 1
  4. D1 and 3

Correct answer

A. 1 and 1

Step-by-step solution

Given differential equation is ydx+(x−y3)dy=0⇒dydx=yy3−x Order =1, degree =1\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}
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