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\[({{x}^{2}}+{{y}^{2}})dy=xydx\]. If \[y({{x}_{0}})=e\], \[y(1)=1\], then value of \[{{x}_{0}}=\]                                                [IIT Screening 2005]

A.                 \[\sqrt{3}e\]           
B.                 \[\sqrt{{{e}^{2}}-\frac{1}{2}}\]
C.                 \[\sqrt{\frac{{{e}^{2}}-1}{2}}\]      
D.                 \[\sqrt{\frac{{{e}^{2}}+1}{2}}\]
Answer» B.                 \[\sqrt{{{e}^{2}}-\frac{1}{2}}\]


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