`(x+lny)dy+y dx=0`

(x-y)dy-(x+y)dx=0

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

The solution of the DE x dy + y dx = 0 is

Solve: x^(2)(x dx+y dy)+2y(x dy-y dx)=0

(1-x)dy+(1+y)dx=0

(1-x)dy-(1+y)dx=0

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

Find the integrating factor for the solution of the differential equation (x-lny) (dy)/(dx) = -ylny .