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Let the functionsf and- be continuous in some rectangle a

Let the functionsf and- be continuous in some rectangle a

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Theorem of be continuous in some rectangle a < t < ß, y < y < ôcontaining the point (to, yo). Then, in some ду Let the functions f and- interval to – h <t < to + h contained in a <t < B, there is a unique solution y = p(t) of the initial value problem y = f(t, y), y(t0) = yo - State where in the ty-plane the hypotheses of the theorem above are satisfied. t - y 8t + 3y O t- y > 0 or t - y < 0 O 8t + 3y > 0 or 8t + 3y < 0 O 8t + 3y < 0 O 8t + 3y > 0 O t- y > 0
Transcribed Image Text:Theorem of be continuous in some rectangle a < t < ß, y < y < ôcontaining the point (to, yo). Then, in some ду Let the functions f and- interval to – h <t < to + h contained in a <t < B, there is a unique solution y = p(t) of the initial value problem y = f(t, y), y(t0) = yo - State where in the ty-plane the hypotheses of the theorem above are satisfied. t - y 8t + 3y O t- y > 0 or t - y < 0 O 8t + 3y > 0 or 8t + 3y < 0 O 8t + 3y < 0 O 8t + 3y > 0 O t- y > 0
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