Q5.6 THE DIFFERENTIAL EQUATION SYSTEM dx dt = (15)x + ( ² )y d y = ( 2 )x + ( )y dy dt HAS THE EIGENVALUES OF THE BEHAVIOR OF THE CURVES OF THE SOLUTION CAN BE DESCRIBED AS: A. SINK/STABLE NODE B. SOURCE/UNSTABLE NODE C. SADDLE POINT D. THE CURVES OF THE SOLUTION CONVERGE TO POINTS THAT ARE DIFFERENT IF THE INITIAL VALUES WHERE x(0)=5 AND y(0)-8, THE SOLUTION THE ABOVE DIFFERENTIAL EQUATION WOULD BE: x(t)= y(t)=
Q5.6 THE DIFFERENTIAL EQUATION SYSTEM dx dt = (15)x + ( ² )y d y = ( 2 )x + ( )y dy dt HAS THE EIGENVALUES OF THE BEHAVIOR OF THE CURVES OF THE SOLUTION CAN BE DESCRIBED AS: A. SINK/STABLE NODE B. SOURCE/UNSTABLE NODE C. SADDLE POINT D. THE CURVES OF THE SOLUTION CONVERGE TO POINTS THAT ARE DIFFERENT IF THE INITIAL VALUES WHERE x(0)=5 AND y(0)-8, THE SOLUTION THE ABOVE DIFFERENTIAL EQUATION WOULD BE: x(t)= y(t)=
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:Q5.6
THE DIFFERENTIAL EQUATION SYSTEM
dx
dt
= (15) x + ( ² ) y d y = ( 2 ) x + ( )y
dy
dt
HAS THE EIGENVALUES OF
THE BEHAVIOR OF THE CURVES OF THE SOLUTION CAN BE DESCRIBED AS:
A. SINK/STABLE NODE
B. SOURCE/UNSTABLE NODE
C. SADDLE POINT
D. THE CURVES OF THE SOLUTION CONVERGE TO POINTS THAT ARE DIFFERENT
IF THE INITIAL VALUES WHERE x(0)=5 AND y(0)-8, THE SOLUTION THE ABOVE DIFFERENTIAL
EQUATION WOULD BE:
x(t)=
y(t)=
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