The function is

(Multiply each side by dx)

(Apply integral)

Let

    (Apply the derivative)

          (Substitute and )

             (Apply integrating an exponential function)

        (Substitute )

        (Substitute )

             ()

              ()

                    (Subtract 1 from each side)

        (Substitute C = 1)

Sketch two approximate solutions of the differential equation on the slope field.

Therefore the particular solution of the difference equation is .