GATE 2018 Q44: Solve dy/dx=(x²+y²)/2y+y/x Differential Equation | Curve (1,0)

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EC > GATE 2018 > Differential Equations

A curve passes through the point (x=1,y=0) and satisfies the differential equation dy/dx=(x²+y²)/2y+y/x. The equation that describes the curve is

A

In(1+y²/x²)=x-1

B

1/2ln(1+y²/x²)=x-1

C

ln(1+y/x)=x-1

D

1/2ln(1+y/x)=x-1

Correct : a

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