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?
Determine the flow Qt : R^2 into R^2 for the nonlinear system: x' =f(x) with f(x) = [ -x1 ]
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If you were to transform this PDE with the substitution S = Kex, where x is a variable and K a constant, what would be the resulting equation?
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