dY Find the general solution for = ([1, 1], [4, 4])Y and - dt give your answer in vector form. b) Use your answer from part a) to solve the system with the initial condition Y(0) = ([7], [8]) c) Check your answer from part b) (check the differential equations AND the initial condition). d) Use an online slope and direction field generator like the one I use in class to generate the solution curve along with the equilibrium solution that the solution curve approaches. Use -10 ≤ x ≤ 10, -15 ≤ y ≤ 15 and -∞ dY (1-1) Find the general solution for Y and give your answer in vector form. dt 4-4 b) Use your answer from part a) to solve the system with the initial condition Y(0) = c) Check your answer from part b) (check the differential equations AND the initial condition). d) Use an online slope and direction field generator like the one I use in class to generate the solution curve along with the equilibrium solution that the solution curve approaches. Use -1010, -15<<15 and -

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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dY
Find the general solution for
=
([1, 1], [4, 4])Y and
-
dt
give your answer in vector form. b) Use your answer
from part a) to solve the system with the initial
condition Y(0) = ([7], [8]) c) Check your answer from part
b) (check the differential equations AND the initial
condition). d) Use an online slope and direction field
generator like the one I use in class to generate the
solution curve along with the equilibrium solution that
the solution curve approaches. Use
-10 ≤ x ≤ 10, -15 ≤ y ≤ 15 and -∞
dY (1-1)
Find the general solution for
Y and give your answer in vector form.
dt 4-4
b) Use your answer from part a) to solve the system with the initial condition Y(0) =
c) Check your answer from part b) (check the differential equations AND the initial condition).
d) Use an online slope and direction field generator like the one I use in class to generate the solution
curve along with the equilibrium solution that the solution curve approaches. Use
-1010, -15<<15 and -<t<∞
Transcribed Image Text:dY Find the general solution for = ([1, 1], [4, 4])Y and - dt give your answer in vector form. b) Use your answer from part a) to solve the system with the initial condition Y(0) = ([7], [8]) c) Check your answer from part b) (check the differential equations AND the initial condition). d) Use an online slope and direction field generator like the one I use in class to generate the solution curve along with the equilibrium solution that the solution curve approaches. Use -10 ≤ x ≤ 10, -15 ≤ y ≤ 15 and -∞ dY (1-1) Find the general solution for Y and give your answer in vector form. dt 4-4 b) Use your answer from part a) to solve the system with the initial condition Y(0) = c) Check your answer from part b) (check the differential equations AND the initial condition). d) Use an online slope and direction field generator like the one I use in class to generate the solution curve along with the equilibrium solution that the solution curve approaches. Use -1010, -15<<15 and -<t<∞
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