Problems 29 through 32 explore the connections among general and singular solutions, existence, and uniqueness. (a) Find
Question:
Problems 29 through 32 explore the connections among general and singular solutions, existence, and uniqueness.
(a) Find a general solution of the differential equation dy/dx = y2.
(b) Find a singular solution that is not included in the general solution.
(c) Inspect a sketch of typical solution curves to determine the points (a, b) for which the initial value problem y' = y2, y(a) = b has a unique solution.
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a b Inspection yields the singular solution y x 0 that co...View the full answer
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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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