The solution to the differential equation `ylogy+x y^(prime)=0,` where `y(1)=e ,` is

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

Solution of the differential equation (dy)/(dx)+(2y)/(x)=0 , where y(1)=1 , is

The solution of the differential equation log(dy/dx)=4x-2y-2,y=1 ,where x=1 is

The solution of the differential equation y^(primeprimeprime)-8y^(primeprime)=0, where y(0)=1/8,y^(prime)(0)=0,y''(0)=1 , is

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

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

The solution of differential equation (2y+x y^3)dx+(x+x^2y^2)dy=0 is

The solution of the differential equation x(dy)/(dx) + 2y = x^2 (X ne 0) with y(1) =1, is :

Let Y = y(x) be the solution of the differential equation ( dy ) /( dx) + 2y = f(x) , where f(x) = { {:(1, x in [0,1]),( 0, " Otherwise "):} IF y(0) =0 then y ((3)/(2)) is :

The solution of the differential equation xdy-ydx+3x^(2)y^(2)e^(x^(3))dx=0 is (where, c is an arbitrary constant)