Consider the differential equation, \({{\rm{y}}^2}{\rm{dx}} + \left( {{\rm{x}} - \frac{1}{{\rm{y}}}} \right){\rm{dy}} = 0\). If value of y is 1 when x = 1, then the value of x for which y = 2, is:

\(\frac{1}{2} + \frac{1}{{\sqrt {\rm{e}} }}\)

\(\frac{5}{2} + \frac{1}{{\sqrt {\rm{e}} }}\)

\(\frac{3}{2} - \frac{1}{{\sqrt {\rm{e}} }}\)

\(\frac{3}{2} - \sqrt {\rm{e}}\)

Consider the differential equation, \({{\rm{y}}^2}{\rm{dx}} + \left( {

1.	Consider the differential equation, \({{\rm{y}}^2}{\rm{dx}} + \left( {{\rm{x}} - \frac{1}{{\rm{y}}}} \right){\rm{dy}} = 0\). If value of y is 1 when x = 1, then the value of x for which y = 2, is:
A.	\(\frac{5}{2} + \frac{1}{{\sqrt {\rm{e}} }}\)
B.	\(\frac{3}{2} - \frac{1}{{\sqrt {\rm{e}} }}\)
C.	\(\frac{1}{2} + \frac{1}{{\sqrt {\rm{e}} }}\)
D.	\(\frac{3}{2} - \sqrt {\rm{e}}\)
Answer» C. \(\frac{1}{2} + \frac{1}{{\sqrt {\rm{e}} }}\)

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Consider the differential equation, \({{\rm{y}}^2}{\rm{dx}} + \left( {{\rm{x}} - \frac{1}{{\rm{y}}}} \right){\rm{dy}} = 0\). If value of y is 1 when x = 1, then the value of x for which y = 2, is:

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