engineering recuitment NIELIT Scientific Assistant Mock Test 2025 Engineering Mathematics Differential Equations Initial and Boundary Value Problems
The solution of the initial value problem \(\frac{{{\rm{dy}}}}{{{\rm{dx}}}} = - 2{\rm{xy}};{\rm{y}}\left( 0 \right) = 2\) is
1
\(1 + {{\rm{e}}^{ - {{\rm{x}}^2}}}\)
2
\(2{{\rm{e}}^{ - {{\rm{x}}^2}}}\)
3
\(1 + {{\rm{e}}^{{{\rm{x}}^2}}}\)
4
\(2{{\rm{e}}^{{{\rm{x}}^2}}}\)