Find the integral curve of the differential equation, `x(1–x lny). Dy/dx +y =0` which passes through (1,1/e).

The integrating factor of the differential equation (x + y+ 1) dy/dx = 1 is -

Write the integrating factor of the differential equation (x - lny)(dy)/(dx) = -y lny

Find the integrating factor of the differential equation (1 + tan y) (dx - dy) + 2x dy=0.

The solution curve of the differential equation, (1+e^(-x))(1+y^(2))(dy)/(dx)=y^(2) , which passes through the point (0,1), is:

Let a curve satisfying the differential equation y^(2)dx=(x-(1)/(y))dy=0 which passes through (1,1) if the curve also passes through (k,2) then value of k is

The curve amongst the family of curves, represented by the differential equation (x^2-y^2)dx+2xydy=0 which passes through (1,1) is

The curve amongst the family of curves, represented by the differential equation (x^2-y^2)dx+2xydy=0 which passes through (1,1) is

The curve amongst the family of curves, represented by the differential equation (x^2-y^2)dx+2xydy=0 which passes through (1,1) is

The curve amongst the family of curves, represented by the differential equation (x^2-y^2)dx+2xydy=0 which passes through (1,1) is