rection field for the differential equation y - 4x sin(y) is shown. -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 Sketch the graphs of the solutions that satisfy the given initial conditions. y(0) = 1 y(0) - 2 y(0) = y(0) - 4 y(0) = 5 0-1.5 -1.0 -0.5 0.5 1.5 -0.5 0.5 1.5 Q 0-15 -1.O -0.5 0.0 1.0 0.0 1.0 0.0 0.5 1.0 1.5 -0.5 0.0 0.5 1.0 1.5 00-15 -1.0 00-15 -1.O Find all the equilibrium solutions. (Select all that apply.) Oy- 1 Oy = 2 Oy-a Oy=4 Oy-s

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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A direction field for the differential equation y' = 4x sin(y) is shown.
-1.5
-1.0
-0.5
0.0
0.5
1.0
1.5
(a) Sketch the graphs of the solutions that satisfy the given initial conditions.
У (0)
y(0) = 2
= 1
y(0) = T
y(0) = 4
y(0) = 5
X
1.5
O-1.5
-1.0
-0.5
0.0
0.5
1.0
1.5
00-1.5
-1.0
-0.5
0.0
0.5
1.0
1.5
-1.5
-1.0
-0.5
0.0
0.5
1.0
1.5
-1.5
-1.0
-0.5
0.0
0.5
1.0
(b) Find all the equilibrium solutions. (Select all that apply.)
y = 1
y = 2
O y = Tt
O y = 4
O y = 5
O O
Transcribed Image Text:A direction field for the differential equation y' = 4x sin(y) is shown. -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 (a) Sketch the graphs of the solutions that satisfy the given initial conditions. У (0) y(0) = 2 = 1 y(0) = T y(0) = 4 y(0) = 5 X 1.5 O-1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 00-1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 -1.5 -1.0 -0.5 0.0 0.5 1.0 (b) Find all the equilibrium solutions. (Select all that apply.) y = 1 y = 2 O y = Tt O y = 4 O y = 5 O O
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