The
solution of the differential equation `(dy)/(dx)=(x+y)/x`
satisfying the condition `y""(1)""=""1`
is
(1) `y""="ln"x""+""x`
(2) `y""=""x"ln"x""+""x^2`
(3) `y""=""x e(x-1)`
(4) `y""=""x"ln"x""+""x`
A. `y=xe^(x-1)`
B. `y=x ln x+x`
C. `y=ln x+x`
D. `y=x ln x+x^(2)`