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BITSAT 2010
Exam
BITSAT
Year
2010
Subject
Mathematics
Chapter
Vector Algebra

BITSAT 2010 · Mathematics · Vector Algebra

The solution of differential equation (2 x (d y)/(d x)- y=3)...

The solution of differential equation (2 x dydx−\frac{d y}{d x}-y=3) represents a family of

Options

  1. Acircles
  2. Bstraight lines
  3. Cellipses
  4. Dparabola

Correct answer

D. parabola

Step-by-step solution

We have, (2 x dydx=\frac{d y}{d x}=y+3 \Rightarrow 2y+3\frac{2}{y+3}d y=dxx\frac{d x}{x}) integrating, (2 \ln (y+3)=\ln x+\ln c=\ln c x) (\Rightarrow \ln (y+3)^2=\ln cx⇒(\mathrm{cx} \Rightarrow(y+3)^2=cx\mathrm{cx}) which is a family of parabolas.
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