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Maybe. The power supply has a nominal rating of 36V and the load as a nominal requirement of 38V, but both values have tolerances.

The power supply may in reality support 36V +/- 5%, and the load may accept a supply voltage in the 32..42V range, for example. However, tolerances and real minimum requirements may also work the other way.

To find out whether this combination works, you should study the respective technical data sheets. It is also fairly safe to simply try: since the power supply's nominal voltage is less than the load's nominal input voltage, you're unlikely to cause any harm by trying. At your own risk of course.

Note that a simple experiment may not be conclusive. The load may be working fine under idle or light use conditions, but when it draws more energy, the power supply may collapse.

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