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NDA 2021
Exam
NDA
Year
2021
Subject
Mathematics
Chapter
Differential Equations

NDA 2021 · Mathematics · Differential Equations

What is the order of the differential equation of all ellipses...

What is the order of the differential equation of all ellipses whose axes are along the coordinate axes?

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

B. 2

Step-by-step solution

The general equation of all ellipses whose axes are along the coordinate axes, x2a2+y2b2=1\frac{x^2}{a^2}+\frac{y^2}{b^2}=1 The above equation has two arbitary constants, so the differential equation will have order 2.
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