(a) Show that the substitution transforms the Riccati equation dy/dx = x 2 + y 2 into...
Question:
(a) Show that the substitution
transforms the Riccati equation dy/dx = x2 + y2 into u" + x2u = 0.
(b) Show that the general solution of dy/dx = x2 + y2 is
Apply the identities in Eqs. (22) and (23).
Transcribed Image Text:
1 du u dx y = --
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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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