Determine whether the Existence and Uniqueness of Solution Theorem implies that the given initial value problem has a unique solution. dy dx +X y(0)=3 Select the correct choice below and fill in the answer box(es) to complete your choice. 2 8 OA. The theorem does not imply the existence of a unique solution because y² + x³ is continuous but a(y² + x³) is not continuous in any rectangle containing the point ду (Type an ordered pair.), 2 8 OB. The theorem does not imply the existence of a unique solution because y² + x³ is not continuous in any rectangle containing the point (Type an ordered pair.) C. 2 8 The theorem implies the existence of a unique solution because y² + x³ and - a(y² + x³) ду continuous in a rectangle containing the point (Type an ordered pair.) = are both
Determine whether the Existence and Uniqueness of Solution Theorem implies that the given initial value problem has a unique solution. dy dx +X y(0)=3 Select the correct choice below and fill in the answer box(es) to complete your choice. 2 8 OA. The theorem does not imply the existence of a unique solution because y² + x³ is continuous but a(y² + x³) is not continuous in any rectangle containing the point ду (Type an ordered pair.), 2 8 OB. The theorem does not imply the existence of a unique solution because y² + x³ is not continuous in any rectangle containing the point (Type an ordered pair.) C. 2 8 The theorem implies the existence of a unique solution because y² + x³ and - a(y² + x³) ду continuous in a rectangle containing the point (Type an ordered pair.) = are both
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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Transcribed Image Text:Determine whether the Existence and Uniqueness of Solution Theorem implies that the given initial value problem
has a unique solution.
dy
dx
+X
y(0)=3
Select the correct choice below and fill in the answer box(es) to complete your choice.
2
8
OA. The theorem does not imply the existence of a unique solution because y² + x³ is continuous but
a(y² + x³)
is not continuous in any rectangle containing the point
ду
(Type an ordered pair.),
2 8
OB. The theorem does not imply the existence of a unique solution because y² + x³ is not continuous in any
rectangle containing the point
(Type an ordered pair.)
C.
2 8
The theorem implies the existence of a unique solution because y² + x³ and
continuous in a rectangle containing the point
(Type an ordered pair.)
a(y² + x³)
dy
=
are both
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