- #1

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- Summary:
- A question to a statement in a book.

Greetings,

I have a question to the following section of the book https://www.springer.com/gp/book/9783319163741:

I understand that the equation is separable, since I can just write

$$ \int_{x_0}^{x} \frac {1}{V(x', \xi, \eta)}dx' =\int_{0}^{t}dt' .$$

However, without knowing the exact shape of the function ##V##, how can I know that I can bring the resulting formula into the shape ##x=X(t, \xi, \eta)##? Am I missing something or is the author a bit too imprecise here?

Best,

SL

I have a question to the following section of the book https://www.springer.com/gp/book/9783319163741:

I understand that the equation is separable, since I can just write

$$ \int_{x_0}^{x} \frac {1}{V(x', \xi, \eta)}dx' =\int_{0}^{t}dt' .$$

However, without knowing the exact shape of the function ##V##, how can I know that I can bring the resulting formula into the shape ##x=X(t, \xi, \eta)##? Am I missing something or is the author a bit too imprecise here?

Best,

SL

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