Show that (0, 0) is an unstable critical point for the following system: 2xy + x3, 1 -x2 + y°. de dy dt
Show that (0, 0) is an unstable critical point for the following system: 2xy + x3, 1 -x2 + y°. de dy dt
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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Do question number 8th as soon as possible
![8. Show that (0,0) is an unstable critical point for the following system:
2xy + x³, ]
= -x2 + y°.
}
dr
dt
dt
9. The one-dimensional heat conduction equation for a thin rod of length L is given by
u" = - f(x) and assume that the ends of the rod at x = 0 and x = L are maintained at
zero degree temperature. By utilizing the properties of Green's function, construct the
Green's function for this boundary value problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3fe33f22-3725-47aa-b926-b61c5e78b372%2Fab7f86d1-32fa-4c3f-b5dc-a56b106e9d30%2Fse8crc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8. Show that (0,0) is an unstable critical point for the following system:
2xy + x³, ]
= -x2 + y°.
}
dr
dt
dt
9. The one-dimensional heat conduction equation for a thin rod of length L is given by
u" = - f(x) and assume that the ends of the rod at x = 0 and x = L are maintained at
zero degree temperature. By utilizing the properties of Green's function, construct the
Green's function for this boundary value problem.
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