Home
Explore
Exams
Search for anything
Login
Get started
Home
Math
Calculus
Differential Equations
Nodes
3.0
(2)
Rate it
Studied by 13 people
Learn
Practice Test
Spaced Repetition
Match
Flashcards
Card Sorting
1/17
Earn XP
Description and Tags
EA$
Calculus
Differential Equations
University/Undergrad
Add tags
Study Analytics
All
Learn
Practice Test
Matching
Spaced Repetition
Name
Mastery
Learn
Test
Matching
Spaced
No study sessions yet.
18 Terms
View all (18)
Star these 18
1
New cards
stable improper node
2 distinct real roots,
λ1, λ2 < 0
2
New cards
unstable improper node
2 distinct real roots,
λ1, λ2 > 0
3
New cards
unstable saddle point
2 distinct real roots,
λ1 < 0 < λ2
4
New cards
stable proper node
repeated roots with distinct eigenvectors
λ1 = λ2 < 0
5
New cards
unstable proper node
repeated roots with distinct eigenvectors
λ1 = λ2 > 0
6
New cards
stable improper node
repeated roots with only 1 eigenvector
λ1 = λ2 < 0
7
New cards
unstable improper node
repeated roots with only 1 eigenvector
λ1 = λ2 > 0
8
New cards
stable center point
pure imaginary complex conjugate roots
λ1 = λ2 = ± ai
9
New cards
stable spiral point
pure imaginary complex conjugate roots
λ1 = λ2 = a ± bi
a < 0
10
New cards
unstable spiral point
pure imaginary complex conjugate roots
λ1 = λ2 = a ± bi
a > 0
11
New cards
stable improper node
12
New cards
unstable improper node
13
New cards
stable proper node
14
New cards
unstable proper node
15
New cards
stable center point
16
New cards
unstable saddle point
17
New cards
stable spiral point
18
New cards
unstable spiral point