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

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

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

The solution of the differential equation x(dy)/(dx) = 2y + x^(3)e^(x), where y = 0 when x = 1 is

If y(x) is the solution of the differential equation ( dy )/( dx) +((2x+1)/(x))y=e^(-2x), x gt 0 , where y(1) = (1)/(2) e^(-2) , then

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

If y=x^(2)e^(x),"show that "(d^(2)y)/(dx^(2))-(dy)/(dx)-2(x+1)e^(x)=0

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

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

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

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