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 y = x3 is a solution of yy'' = 6x4, but that if c2 ≠ 1, then y = cx3 is not a solution.
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Related Book For
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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