Sketch the direction field for the differential equation. Then use it to sketch a solution curve that passes through the given point. y'=y-3x, (1, 0) -31 11111 II 7-4 1- || | |/ / !.!.!.!.!. J3 1 L-21/1/2 ILIII/ //\ ||||||\\ \/\ 11 III \\-7|1 /// n

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Sketch the direction field for the differential equation. Then use it to sketch a solution curve that passes through the given point.
y' = y
3x, (1, 0)
y
/ Br/
LLL
31 L-21 / 1,
| | || / //
1 1 1 1
111/ //
1111
1 1 1 1
11
1
/ - \\
A
1 /
11
\ \\
!!!!!
3.1
1-21 / 1
ILII1 1
11
-3²1
H
A
121 1
21
1
11
1
X
3
X
-131 L21
y
11|11-B²1 \ - / / / 1
X
-13 1
L21
Br
FZ
\\ - / -Bf
III
X
Transcribed Image Text:Sketch the direction field for the differential equation. Then use it to sketch a solution curve that passes through the given point. y' = y 3x, (1, 0) y / Br/ LLL 31 L-21 / 1, | | || / // 1 1 1 1 111/ // 1111 1 1 1 1 11 1 / - \\ A 1 / 11 \ \\ !!!!! 3.1 1-21 / 1 ILII1 1 11 -3²1 H A 121 1 21 1 11 1 X 3 X -131 L21 y 11|11-B²1 \ - / / / 1 X -13 1 L21 Br FZ \\ - / -Bf III X
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