Solve the differential equation `(x dy-y dx)ysin(y/x)=(y dx+x dy)xcos(y/x)`.

Solve the differential equation y+x dy/dx=x

Solve the differential equation (x+y)dy=(x-y)dx

Solve the following differential equations (x dy -y dx)y sin (y/x)= (y dx + x dy)x cos (y/x) .

Find the particular solution of the differential equation : (x dy - y dx) y sin (y/x)= (y dx + x dy) x cos. y/x , given that y=pi and x=3 .

Solve the differential equation (dy)/(dx)=x^2y+y

Solve the differential equation x(dy)/(dx)+y=1+x

Solve the differential equation: (dy)/(dx)+(y)/(x)=x^(2)

Solve the differential equation: (dy)/(dx)-(y)/(x)=2x^(2)

solve the differential equation (y+x)(dy)/(dx)=y-x

Solve the differential equations: (x-y)dy+(x+y)dx=0