" 4."(dy)/(dx)+1=e^(x+y)

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

The solution of (dy)/(dx)+1 = e^(x+y) is

The solution of (dy)/(dx)+1 = e^(x+y) is

Solve (dy)/(dx)+1=e^(x+y)

Find the general solutions of the following differential equations. (i) (dy)/(dx) = e^(x+y) (ii) (dy)/(dx) = e^(y-x) (iii) (dy)/(dx) = (xy+y)/(yx+x) (iv) y(1+x)dx+x(1+y)dy = 0

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 .

If e^(y)(x+1)=1, show that (dy)/(dx)=-e^(y)