If y(x) is the the solution of the differntial equation `dy/dx+((2x+1)/x)y=e^(-2x),xgt0," where "y(1)=1/2e^(-2)`, then

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

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

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

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

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

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

Particular solution of differential equation e^((dy)/(dx))=x,y(1)=3,xgt0 is

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