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NDA 2010
Exam
NDA
Year
2010
Subject
Mathematics
Chapter
Differential Equations

NDA 2010 · Mathematics · Differential Equations

What is the differential equation for y^2=4 a(x-a) ?

What is the differential equation for y2=4a(x−a)y^2=4 a(x-a) ?

Options

  1. Ayy′−2xyy′+y2=0y y^{\prime}-2 x y y^{\prime}+y^2=0
  2. Byy′(yy′+2x)+y2=0y y^{\prime}\left(y y^{\prime}+2 x\right)+y^2=0
  3. Cyy′(yy′−2x)+y2=0y y^{\prime}\left(y y^{\prime}-2 x\right)+y^2=0
  4. Dyy′−2xyy′+y=0y y^{\prime}-2 x y y^{\prime}+y=0

Correct answer

C. yy′(yy′−2x)+y2=0y y^{\prime}\left(y y^{\prime}-2 x\right)+y^2=0

Step-by-step solution

The correct answer is option (C).
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