Solve `x (dy)/(dx)sin(y/x)+x-ysin(y/x)=0` given `y(1)=pi/2`

(xe^(y/x)-ysin(y/x))dx+xsin(y/x)dy=0

(xe^(y/x)-ysin(y/x))dx+xsin(y/x)dy=0

solve x(dy)/(dx) - y + x sin ((y)/(x)) = 0

Solve x (dy) / (dx) sin ((y) / (x)) + xy sin ((y) / (x)) = 0 given y (1) = (pi) / (2)

Show that the differential equation x(dy)/(dx)sin(y/x)+x-ysin(y/x)=0 is homogenous. Find the particular solution of this differential equation, given that x=1 when y=pi/2 .

(dy)/(dx)=ysin2x given, y(0)=1

Solve x(dy)/(dx)=y+x tan(y/x) , given that y=(pi)/(2) , when x=1.

Solve: (dy)/(dx)=ysin2x it being given that y(0)=1.

Solve xsin(y/x)dy=(ysin(y/x)-x)dx .