Elimination of arbitrary constants A and B from y= \frac{A}{x}+B, x>0 leads to the differential equation

Correct Answer is : xd2ydx2+2dydx=0

x {d^{2} y}/{d x^{2}}+2 \frac{d y}{d x}=0

x ^2 {d^{2} y}/{d x^{2}}+2 \frac{d y}{d x}=0

x ^2{d^{2} y}/{d x^{2}}+ \frac{d y}{d x}=0

x {d^{2} y}/{d x^{2}}-2 \frac{d y}{d x}=0

x {d^{2} y}/{d x^{2}}- \frac{d y}{d x}=0

KEAM 2020 Math Paper

Question : 120 of 120

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Elimination of arbitrary constants A and B from y=

+B,x>0 leads to the differential equation

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