हल करें - `(dy)/(dx)= e^(x-y)`

(dy)/(dx)=(x+e^(x))/(y)

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

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

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

(dy)/(dx)=(x+e^x)/(y+e^y)

(x-y)(1-(dy)/(dx))=e^(x)

Solve (dy)/(dx)= e^(x-y) + x^2 e^(-y) .

If e^(x) + e^(y) = e^(x + y) , then prove that (dy)/(dx) = (e^(x)(e^(y) - 1))/(e^(y)(e^(x) - 1)) or (dy)/(dx) + e^(y - x) = 0 .

Solve ((dy)/(dx))=e^(x-y)(e^(x)-e^(y))