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NDA 2010
Exam
NDA
Year
2010
Subject
Mathematics
Chapter
Differential Equations

NDA 2010 · Mathematics · Differential Equations

Which one of the following is the differential equation to family...

Which one of the following is the differential equation to family of circles having centre at the origin?

Options

  1. A(x2−y2)dydx=2xy\left(x^2-y^2\right) \frac{d y}{d x}=2 x y
  2. B(x2+y2)dydx=2xy\left(x^2+y^2\right) \frac{d y}{d x}=2 x y
  3. Cdydx=(x2+y2)\frac{d y}{d x}= \left(x²+y²\right)
  4. Dxdx+ydy=0x d x+y d y=0

Correct answer

D. xdx+ydy=0x d x+y d y=0

Step-by-step solution

The correct answer is option (D).
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