The solution of differential equation 2 x d x d y − y = 3 represents a family of

We have, 2 x d x d y = y + 3 ⇒ y + 3 2 d y = x d x integrating, 2 ln ( y + 3 ) = ln x + ln c = ln c x ⇒ ln ( y + 3 ) 2 = ln cx ⇒ ( y + 3 ) 2 = cx which is a family of parabolas.

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MathematicsVectorDot Product & Its Application ( Projection etc.)Easy2 minPYQ_2010

MathematicsEasysingle choice

The solution of differential equation $2 x \frac{d y}{d x} - y = 3$ represents a family of

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

Stream:BITSATSubject:MathematicsTopic:VectorSubtopic:Dot Product & Its Application ( Projection etc.)

⏱ 2mℹ️ Source: PYQ_2010

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