Calculate the maximal interval of the initial value
Interval of existence of an IVP
Solve the below problem using the step by step method:
Find the unique solution (and proof that it is unique) and the maximal interval of the initial value problem x' = x^3, x(0) = xo for any xo E R.
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Is this true - what do you think? Feel free to take your discussion beyond these starting points.
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Why not just use Newton's Interpolatory Divided Difference formula to get an nth degree interpolating polynomial?
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