If `y=y(x)` is solution of differential equation `(5+e^(x))/(2+y) (dy)/(dx)=e^x` and `y(0)=4` than find `y(log_e 13)`

If y = y (x) is the solution of the differential equation (5 + e^(x))/(2 + y) * (dy)/(dx) + e^(x) = 0 satisfying y(0) = 1 , then a value of y (log _(e) 13) is :

The solution of the differential equation e^(x)dx+e^(y)dy=0 is

The solution of the differential equation e^(x)dx+e^(y)dy=0 is

The solution of the differential equation (1+e^(x))y(dy)/(dx) = e^(x) when y=1 and x = 0 is

The solution of the differential equation x(e^(2y)-1)dy+(x^2-1)e^y dx=0 is

The solution of differential equation (dy)/(dx)=e^(x-y)+x^(2)e^(-y) is

The solution of differential equation (dy)/(dx)=e^(x-y)+x^(2)e^(-y) is

Solution of the differential equation (1+e^(x/y))dx + e^(x/y)(1-x/y)dy=0 is

Solution of the differential equation (1+e^(x/y))dx + e^(x/y)(1-x/y)dy=0 is

The general solution of the differential equation log_(e) ((dy)/(dx))=x +y is