Maximal Interval of Existence.
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Please solve the following ODE problem:
For every nonzero xo belonging to R, find the maximal interval of existence of the following initial problem:
x' = f(x) , x(0) = xo ,
where f: R{0} into R and f(x) = 1/x^2 . Guive proofs for your result. Skectch the region.
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Solution Summary
The expert examines the maximal interval of existence.
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The equation is:
(1.1)
With the IVP condition:
(1.2)
The equation is a separable equation:
(1.3)
Using (1.2) to find the value of the arbitrary ...
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