Differential Equations - Existence and Uniqueness Theorem

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For the initial value problem 3(dy/dx) = x^2 - xy^3, y(1)=6, does Theorem 1 imply the existence of a unique solution?

For the initial value problem dy/dx = 3y^2/3, y(2)=0, does Theorem 1 imply the existence of a unique solution?
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Amazing! Helpful video, sir♥️♥️💞💞💝💝💖💖👍

theaimwinsbr
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I really do think a Demon's Souls Remastered is coming for PS4 and PS5.

EDIT: Thank you so much for the example. I now understand how to use the theorem. Pretty nice vid, man. Keep it up.

Callejacevedo
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I don’t understand you, your also not sure about what you do

massiveeditionjs.mahlahlan