Verify that if c is a constant, then the function defined piecewise by satisfies the differential equation
Question:
Verify that if c is a constant, then the function defined piecewise by
satisfies the differential equation y' = -√1- y2 for all x. (Perhaps a preliminary sketch with c = 0 will be helpful.) Sketch a variety of such solution curves. Then determine (in terms of a and b) how many different solutions the initial value problem y' = -√1- y2, y(a) = b has.
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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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