defence exam Coast Guard Navik GD (General Duty) 02/2025 Mock Test Series Mathematics Differential Equations Solution of Differential Equations
Let \(y(x)\) be the solution of the differential equation \((x \log x)\dfrac {dy}{dx}+y=2x \log x, (x\geqslant 1)\). Then \(y(e)\) is equal to :
1
\(e\)
2
\(0\)
3
\(2\)
4
\(2e\)