to rage / ravage
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to rage
In reference to natural forces, diseases, or conflicts: to spread or continue with great destructive force.
Der Sturm wütete die ganze Nacht und entwurzelte mehrere Bäume.
The storm raged all night and uprooted several trees.
The verb 'wüten' (to rage) is closely related to the noun 'die Wut' (anger, rage). This connection helps you understand the intense and often uncontrolled energy of the verb.
Voller Wut wütete er in seinem Büro und warf Papiere auf den Boden.
Full of anger, he raged in his office and threw papers onto the floor.
The subject of the sentence reveals the meaning. If an uncontrollable force (storm, fire, disease) is the subject, 'wüten' (to rage) means to have a destructive effect. If a person is the subject, it means to be extremely angry.
Ein schwerer Waldbrand wütet seit Tagen in der Region.
A severe forest fire has been raging in the region for days.
When 'wüten' (to rage) describes natural forces or conflicts, a place is often added to show where the destruction is taking place. Typical prepositions are 'in' or 'an'.
Der Krieg wütete viele Jahre in dem kleinen Land.
The war raged for many years in the small country.
To express the reason for a person's anger, the preposition 'über' followed by the accusative is often used.
Die Fans wüteten über die ungerechte Entscheidung des Schiedsrichters.
The fans raged about the referee's unfair decision.
to cook / to boil
'kochen' and 'wüten' can both have to do with strong anger. 'kochen' is used in the fixed expression 'vor Wut kochen' (to boil with rage). This means that someone is extremely angry inside. 'wüten' describes more that someone clearly shows their anger, for example by shouting, raging, or acting aggressively. So the difference is: with 'kochen vor Wut', the feeling is in the foreground; with 'wüten', it is more the visible action.
Der Kunde wütete im Laden, weil seine Bestellung verschwunden war.
The customer raged in the store because his order had disappeared.
Nach der unfairen Entscheidung kochte der Trainer vor Wut.
After the unfair decision, the coach was boiling with rage.