Solve : `(1 + tan y ) (dx - dy ) + 2x dy = 0`

Solve : (x+ tan y) dy = sin 2 y dx

Solve the differential equation : sec^(2)x tan y dx + sec^(2) y tan x dy = 0

solve: (x + y) dy + (y-2x) dx = 0

Solve : (1 + y^2).dx+xdy = tan^-1y dy

Solve the differential equation: (i) (1+y^2) + ( x - e^(tan^-1 y) ) dy/dx = 0 (ii) x dy/dx + cos^2 y = tan y dy/dx

Solve the differential equation (1 + y^2) dx − (tan^(−1) y − x) dy = 0

Solve: y^2 + (x - 1/y)(dy)/(dx) = 0.