1.

The solution of the initial value problem \(\frac{{{\rm{dy}}}}{{{\rm{dx}}}} = - 2{\rm{xy}};{\rm{y}}\left( 0 \right) = 2\) is

A. \(1 + {{\rm{e}}^{ - {{\rm{x}}^2}}}\)
B. \(2{{\rm{e}}^{ - {{\rm{x}}^2}}}\)
C. \(1 + {{\rm{e}}^{{{\rm{x}}^2}}}\)
D. \(2{{\rm{e}}^{{{\rm{x}}^2}}}\)
Answer» C. \(1 + {{\rm{e}}^{{{\rm{x}}^2}}}\)


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