(" ix) "x(dy)/(dx)-y+x sin((y)/(x))=0,y(2)=x

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

sin x(dy)/(dx)+y=y^(2)

(dy/dx)+(y/x)=sin x^(2)

Solution of the differential equation (x+y(dy)/(dx))/(y-x(dy)/(dx))=(x sin^(2)(x^(2)+y^(2)))/(y^(3))

{ xcos ((y)/(x)) + y sin ((y)/(x))} y dx = { y sin ((y)/(x)) - x cos ((y)/(x))}x dy

{ xcos ((y)/(x)) + y sin ((y)/(x))} y dx = { y sin ((y)/(x)) - x cos ((y)/(x))}x dy

The solution of differential equation [x cos ((y) / (x)) + y sin ((y) / (x))] y- [y sin ((y) / (x)) - x cos ((y ) / (x))] x (dy) / (dx) = 0

Solve : (y dx+x dy)x "cos"(y)/(x)=(x dy-y dx) y " sin "(y)/(x)