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)
Explanation
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))
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