Doing a problem on the Uniqueness Theorem and i do not understand it(adsbygoogle = window.adsbygoogle || []).push({});

Can you help me by explaining why this example is unique or not, please?

Given [tex] \frac{dy}{dt} =F(t,y) [/tex]

Also [tex] y_{1} = -1 [/tex] for all t that are solutions

And [tex] y_{2} = 1+ t^2 [/tex] for all t that are solutions

and y(0) = 0

Is the solution unique or not?

I think it is because y1(0) < y(0) <y2(0) . Is that the only criterion for uniqueness or is there something more?

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# Homework Help: Differential Equation help

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