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evinda
Gold Member
MHB
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Hello! (Wave)
We consider the following Cauchy problem
Find an example of a function such that the solution exists only on the interval for .
I thought to pick since this is defined on .
Then differentiating we get .
So I thought to pick .
Is my idea right? (Thinking)
In my notes there is the same example but for the interval .
There the following is done: where .
If we would also want to do it as in my notes, could we again look for a solution in the form ? (Thinking)
Because I tried it and I got .
But can we get from this a solution that is defined on ?
We consider the following Cauchy problem
Find an example of a function
I thought to pick
Then differentiating we get
So I thought to pick
Is my idea right? (Thinking)
In my notes there is the same example but for the interval
There the following is done:
Because I tried it and I got
But can we get from this a solution that is defined on
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