engineering recuitment GATE EE 2023-24 Test Series Engineering Mathematics Differential Equations Partial Differential Equations
The solution of the differential equation
\( {d^2y\over dx^2}- {dy\over dx}+0.25y=0\), y = 0 at x = 0 and \( {dy \over dx}=1 \) at x = 0
1
\(-xe^{0.5x}\)
2
\(xe^{0.5x}+xe^{-0.5x}\)
3
\(xe^{0.5x}-xe^{-0.5x}\)
4
\(xe^{0.5x}\)