The following three problems illustrate the fact that the superposition principle does not generally hold for nonlinear

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The following three problems illustrate the fact that the superposition principle does not generally hold for nonlinear equations.

Show that y1 ≡ and y2 = √x are solutions of yy'' + (y')2 = 0, but that their sum y = y1 + y2 is not a solution.

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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