# Maximal Interval of Existence.

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.

© BrainMass Inc. brainmass.com May 20, 2020, 10:24 pm ad1c9bdddfhttps://brainmass.com/math/interpolation-extrapolation-and-regression/maximal-interval-existence-512122

#### Solution Preview

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 ...

#### Solution Summary

The expert examines the maximal interval of existence.

$2.19