Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Consider the following differential equation
2
y'= ln(1 + x² + y²), y(x) = yo
(a) Find all points (xo, Yo) for which this initial value
problem has a solution.
The IVP has a solution for any points
AND
(b) Find all points (xo, yo) for which this initial value
problem has a unique solution on some open interval
that contains co.
The IVP has a unique solution for any points
AND
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Transcribed Image Text:Consider the following differential equation 2 y'= ln(1 + x² + y²), y(x) = yo (a) Find all points (xo, Yo) for which this initial value problem has a solution. The IVP has a solution for any points AND (b) Find all points (xo, yo) for which this initial value problem has a unique solution on some open interval that contains co. The IVP has a unique solution for any points AND
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