Show that (6) with n = 0 gives P0(x) = 1 and

Show that (6) with n = 0 gives P0(x) = 1 and (7) gives (use ln (1 + x) = x - 1/2x2 + 1/3x3 + ....)

Verify this by solving (1) with n = 0, setting z = y' and separating variables.