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NDA 2021
Exam
NDA
Year
2021
Subject
Mathematics
Chapter
Differential Equations

NDA 2021 · Mathematics · Differential Equations

What is the degree of the following differential equation? x=...

What is the degree of the following differential equation? x=1+d2ydx2x=\sqrt{1+\frac{d^2 y}{d x^2}}

Options

  1. A11
  2. B22
  3. C33
  4. DDegree is not defined

Correct answer

A. 11

Step-by-step solution

x=1+dy2dx2⇒x2=1+d2ydx2∴x=\sqrt{1+\frac{d y^2}{d x^2}} \Rightarrow x^2=1+\frac{d^2 y}{d x^2}\therefore degree of the D.E. is 1
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