Disparate describes things that are fundamentally different or hard to compare, while desperate describes a person or situation in urgent need or dire trouble. They share no meaning, only a similar look on the page — think of disparate as "poles apart" and desperate as "at the end of your rope."
The core difference
Disparate is about difference between things, while desperate is about urgent need or dire danger for a person or situation.
- disparate — made up of essentially different, often incompatible elements: The committee brought together disparate views that never quite reconciled.
- desperate — willing to do almost anything out of urgent need, or facing a situation with little hope: The stranded hikers were desperate for water.
How to tell them apart
The two words are not related in origin or meaning, but writers sometimes slip one in for the other because they look similar and both end in -ate. A useful check is to swap in a synonym: if unrelated or unlike fits, you want disparate; if urgent or desperate for help fits, you want desperate.
The mix-up tends to show up in editing under time pressure, where a writer means to say a set of ideas or data points do not fit together (disparate) but types desperate instead, producing an odd, unintended sense of crisis.