Consider the differential equation y' = et. (a) Draw its direction field. ? A. y = C. LLLLL J.J [TTT LLL J..J..J. LLLLLL J.J JJJ TT STTTTTT F10 J. 1.1 JJJ J. J. 3.1. 1.1.1.1 LLLLL (b) Find a general solution to the differential equation help (formulas) (c) Draw a solution on top of the direction field. ? TITT B. D. L.L.L. 111 1.1. -10 LLLLLLLLL LLLLLLL J..J..J..J.. LLLL LL 1.1.1.1 J..J..J LLLL ITT I F10 1..1 TT 1..1 1.1.1.1 1.1.1.1. TTTT LLLLLLLL TTTTTTTT TT J.J. L.L

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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Consider the differential equation y'= et.
(a) Draw its direction field. ?
A.
y
C.
1.1.
10
T
(b) Find a general solution to the differential equation
help (formulas)
(c) Draw a solution on top of the direction field. ? î
J.J.
į į jį į
]]]
J.J.J.
TIT
i
B.
D.
111 TT
11111
1 1 1 1 TTT
+-+
1
1 1 1 TT TTT
1
J J J J J 1
T 1 J J T TTT
-10|
111
1 T
1 1 1 } } TTT N
TTTTTTTT
11 TT TT
1
11
1
]
J
-16
JILL
IIIII
| | | | |
TILLI
1
ÿ
1
1
y
1.
1
LI
11
10
1
111
11
LII
111
11111
1.
J.J.
III].
[|]]
|||
Transcribed Image Text:Consider the differential equation y'= et. (a) Draw its direction field. ? A. y C. 1.1. 10 T (b) Find a general solution to the differential equation help (formulas) (c) Draw a solution on top of the direction field. ? î J.J. į į jį į ]]] J.J.J. TIT i B. D. 111 TT 11111 1 1 1 1 TTT +-+ 1 1 1 1 TT TTT 1 J J J J J 1 T 1 J J T TTT -10| 111 1 T 1 1 1 } } TTT N TTTTTTTT 11 TT TT 1 11 1 ] J -16 JILL IIIII | | | | | TILLI 1 ÿ 1 1 y 1. 1 LI 11 10 1 111 11 LII 111 11111 1. J.J. III]. [|]] |||
(b) Find a general solution to the differential equation
help (formulas)
(c) Draw a solution on top of the direction field. ? ✪
y
A.
C.
TIT
LLLLLL
1.
-10
TIN
1 1 1 1 TT TT X
TTTTTTTT
J.J.
XIIII.
140
TT
LLL
J.
| | || | ||
111
TTT
TTT
B.
D.
F10
II
LLL
TT
J
1.1.1.
1
1
J.J.
T
J.J.J.
TTTT
1.III. 1
[TTTTT
TITTTT
T
T
IIJ.J.
J.J
J.....
TTT
10
1.IIII..J. 1
IIIJ.J.
Transcribed Image Text:(b) Find a general solution to the differential equation help (formulas) (c) Draw a solution on top of the direction field. ? ✪ y A. C. TIT LLLLLL 1. -10 TIN 1 1 1 1 TT TT X TTTTTTTT J.J. XIIII. 140 TT LLL J. | | || | || 111 TTT TTT B. D. F10 II LLL TT J 1.1.1. 1 1 J.J. T J.J.J. TTTT 1.III. 1 [TTTTT TITTTT T T IIJ.J. J.J J..... TTT 10 1.IIII..J. 1 IIIJ.J.
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