defence exam Army Havildar SAC Mock Test Series 2025 Mathematics Differential Equations Solution of Differential Equations
The general solution of the differential equation (1 + tan y)(dx - dy) + 2xdy = 0 is
1
\(y(\sin x+\cos x)=\sin x+c e^{x}\)
2
\(y(\sin x+\cos x)=\sin x+c e^{-x}\)
3
\(x(\sin y+\cos y)=\sin y+c e^{y}\)
4
\(x(\sin y+\cos y)=\sin y+c e^{-y}\)