The differential form xdy + ydx/xy is equivalent to?

d(y²/x)

d(tan⁻¹(y/x))

d(ln(xy))

d(x^m/y^n)

The given differential form can be simplified as: xdy + ydx/xy = d(ln(xy))

Here's a step-by-step solution:

xdy + ydx/xy = (x/y)dy + (y/x)dx

= d(ln(y)) + d(ln(x))

= d(ln(xy))