(iii) If a = 0.1, what initial conditions x(0) >xo, y(0) > yo near (x.. y.) will guarantee a faster rate of consumer uptake of electric cars than conventional cars? [Hint: Plot the phase portrait!]
(iii) If a = 0.1, what initial conditions x(0) >xo, y(0) > yo near (x.. y.) will guarantee a faster rate of consumer uptake of electric cars than conventional cars? [Hint: Plot the phase portrait!]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please answer (iii)
![(i) Solve the linear system below using Laplace Transforms
dx
dt
for some real constant a, and X(o)=0, y (0) = 1
=-aX+Y₁
dy
dt
=X-ay
(ii) Find the range of values of a where (X, Y)=(0,0) is an unstable saddle.
(iii) If a = 0.1, what initial conditions x(0) >xo, y(0) > yo near (x.. y.) will guarantee a faster rate of consumer
uptake of electric cars than conventional cars? [Hint: Plot the phase portrait!]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12fdac56-4b52-4434-8b00-5772085cd8ad%2F146bb0cb-5be1-46ea-a191-c45567f621e8%2Fv2n3b63_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(i) Solve the linear system below using Laplace Transforms
dx
dt
for some real constant a, and X(o)=0, y (0) = 1
=-aX+Y₁
dy
dt
=X-ay
(ii) Find the range of values of a where (X, Y)=(0,0) is an unstable saddle.
(iii) If a = 0.1, what initial conditions x(0) >xo, y(0) > yo near (x.. y.) will guarantee a faster rate of consumer
uptake of electric cars than conventional cars? [Hint: Plot the phase portrait!]
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