Problem #4: By inspecting the following differential equation and its properties, determine which of the given graphs could be the graph of a solution to the equation. y'=-e-y+sin.x (A) (C) -6 -4 -2 y 0.5- (E) 2 y 1 y 0 -1- 1 X 2 X 2 X 2 3 (B) (D) (F) y 2 0- y 0.5 0 2 X X 1 X 3 5 2 10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Problem #4: By inspecting the following differential equation and its properties, determine which of the given
graphs could be the graph of a solution to the equation.
y' =-e-y+sin x
(A)
(C)
-6
y 0.5
(E) 2₁
y 1
0
1
0
- 4
y
-2
2
1
-1-
-2-
1
X
2
2
X
2
3
(B)
(D)
(F)
4
y2-
0
y 0.5-
-5
y
3
0
X
X
X
5
3
2
10
Transcribed Image Text:Problem #4: By inspecting the following differential equation and its properties, determine which of the given graphs could be the graph of a solution to the equation. y' =-e-y+sin x (A) (C) -6 y 0.5 (E) 2₁ y 1 0 1 0 - 4 y -2 2 1 -1- -2- 1 X 2 2 X 2 3 (B) (D) (F) 4 y2- 0 y 0.5- -5 y 3 0 X X X 5 3 2 10
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