We refer to initial-value problems from the exercises in Section 3.2. Sketch the solution curves in the phase plane and the x(t)- and ytt)-graphs for the solutions corresponding to the initial-value problems specified. The initial-value problems in Exercise 14, Section 3.2 Reference Solve the initial-value problem dY 4 -2 Y, 1 Y(0) = Yo, dt 1 where the initial condition Yo is: (a) Yo = (1, 0) (b) Yo= (2, 1) (с) Yo —D (-1, — 2)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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We refer to initial-value problems from the exercises in Section 3.2. Sketch the solution curves in the phase plane and the
x(t)- and ytt)-graphs for the solutions corresponding to the initial-value problems specified.
The initial-value problems in Exercise 14, Section 3.2
Reference
Solve the initial-value problem
dY
4
-2
Y,
1
Y(0) = Yo,
dt
1
where the initial condition Yo is:
(a) Yo = (1, 0)
(b) Yo= (2, 1)
(с) Yo —D (-1, — 2)
Transcribed Image Text:We refer to initial-value problems from the exercises in Section 3.2. Sketch the solution curves in the phase plane and the x(t)- and ytt)-graphs for the solutions corresponding to the initial-value problems specified. The initial-value problems in Exercise 14, Section 3.2 Reference Solve the initial-value problem dY 4 -2 Y, 1 Y(0) = Yo, dt 1 where the initial condition Yo is: (a) Yo = (1, 0) (b) Yo= (2, 1) (с) Yo —D (-1, — 2)
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