Theorem af ду - be continuous in some rectangle a < t < ß, y < y < dcontaining the point (to, Yo). Then, in some Let the functionsf and - interval to – h < t < to + h contained in a

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Theorem
df
Let the functionsf and-
-be continuous in some rectangle a < t < ß, y < y < dcontaining the point (to, yo). Then, in some
ду
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(to) = yo -
State where in the ty-plane the hypotheses of the theorem above are satisfied.
dy
1+?
dt
5y – y2
Enter the answers in increasing order.
y +
y #
i
Transcribed Image Text:Theorem df Let the functionsf and- -be continuous in some rectangle a < t < ß, y < y < dcontaining the point (to, yo). Then, in some ду 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(to) = yo - State where in the ty-plane the hypotheses of the theorem above are satisfied. dy 1+? dt 5y – y2 Enter the answers in increasing order. y + y # i
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