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Determine the flow

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Reference no: EM13899172

Please solve the following numerical analysis problem:

Determine the flow Qt : R^2 into R^2 for the nonlinear system: x' =f(x) with

f(x) = [ -x1 ]
[ x1^2 + 2x2 ]

and show that the set S = { x E R^2l x2 = -x^2/4 } is invariant with respect to the flow {Qt}.

Please use the step by step method to show the solution.

Reference no: EM13899172

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