y=e^((y)/(x))

Solve the differential equation: y e^((x)/(y)) dx = (x e^((x)/(y)) + y^(2))dy ( y ne 0) .

Solve the differential equation x log_(e)((x^(y))/(e^(x)))((dy)/(dx))=y log_(e)((y^(x))/(e^(y))), where x,y>0

If e[(e^(x),e^(y)),(e^(y),e^(x))]=[(1,1),(1,1)] , then the values of x and y are respectively

if y^(x)=e^(y-x) then (dy)/(dx)

If e^(y+e^(y)+e^(y)+oo) x gt 0 , then dy/dx is

If e^(x) +e^(y) =e^(x+y),then (dy)/(dx)=

Solve the differential equation y e^(x)/(y) dx = (x e^(x)/(y) + y^(2))dy ( y ne 0) .