The trace determinant plane in our textbook (and in We- bAssign) includes two border cases: (1) when τ = 0 (and ∆ > 0), we have a center point and (2) when τ 2 = 4∆, we have a degenerate node. It does not include the other border case when ∆ = 0. (c) Suppose τ > 0. Is the (0, 0) equilibrium stable or unstable in this case? What if τ < 0
The trace determinant plane in our textbook (and in We- bAssign) includes two border cases: (1) when τ = 0 (and ∆ > 0), we have a center point and (2) when τ 2 = 4∆, we have a degenerate node. It does not include the other border case when ∆ = 0. (c) Suppose τ > 0. Is the (0, 0) equilibrium stable or unstable in this case? What if τ < 0
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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The trace determinant plane in our textbook (and in We-
bAssign) includes two border cases: (1) when τ = 0 (and ∆ > 0), we
have a center point and (2) when τ 2 = 4∆, we have a degenerate node.
It does not include the other border case when ∆ = 0.
(c) Suppose τ > 0. Is the (0, 0) equilibrium stable or unstable in this
case? What if τ < 0
bAssign) includes two border cases: (1) when τ = 0 (and ∆ > 0), we
have a center point and (2) when τ 2 = 4∆, we have a degenerate node.
It does not include the other border case when ∆ = 0.
(c) Suppose τ > 0. Is the (0, 0) equilibrium stable or unstable in this
case? What if τ < 0
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