No you can't catch Mewtwo in Pokemon silver, you must trade it from Pokemon yellow.
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you catch it in cerulean cave
There is no such Pokemon as "Shadow" mewtwo. There is a regular mewtwo that you can catch like any other Pokemon. It's located in the Cerulean Caves.
how do you catch a mewtwo on Pokemon platinum
You can't catch Mewtwo in Gold, Silver, or Crystal. But you can catch it in HeartGold and SoulSilver in the Cerulean Cave at Lv70.
Catch 'em all