Question

Use the Theorem of Picard-Lindelöf (also known as Cauchy-Lipschitz) to show that the IVP has a unique solution in the Interval \(I_\alpha\) with \(0 \in I_\alpha\) \[\begin{cases} y'&= t|y|^\alpha \\ y(0)&=1\end{cases} \]
for \(\alpha \neq 1\)

Answer 1

@oldrin.bataku

Answer 2

@amistre64

Answer 3

@whpalmer4

Answer 4

@hartnn

Answer 5

and finally the famous @experimentX, for whenever you find the time, you can also look at me up at stack exchange again, you will find the exact same question on it.

Answer 6

done!

Answer 7

sorry .... OS didn't load yesterday :(