Match the differential equation with its direction field. y' = 10 - y \ 20 0:34 // 0.2f Q,1 -Q.31 1-0.2 \ +0,1 \ 0.1 0.2 / /0,3 La3 日 o-2 -1 1 2 20T 0.2 Q.1 -0.3- --0.2 -0.4 - 0.1 0.2 - -0.3 -0.1 0.2 ++++ o-2 Give reasons for your answer. O The slopes at each point are independent of y, so the slopes are the same along each line parallel to the y-axis. Note that for y = 10, y' = 0. O y' = 10 - y = 0 on the lines x = 0 and y = 10. O The slopes at each point are independent of x, so the slopes are the same along each line parallel to the x-axis. Note that for y = 10, y' = 0. %3D O y' = 10 - y = 0 on the lines x = 0 and y = 0, and y' > o for o < x < T/10, 0 < y < n/10. O y' = 10 - y = 0 on the line y = -x + 1/10, and y' = -1 on the line y = -x.
Match the differential equation with its direction field. y' = 10 - y \ 20 0:34 // 0.2f Q,1 -Q.31 1-0.2 \ +0,1 \ 0.1 0.2 / /0,3 La3 日 o-2 -1 1 2 20T 0.2 Q.1 -0.3- --0.2 -0.4 - 0.1 0.2 - -0.3 -0.1 0.2 ++++ o-2 Give reasons for your answer. O The slopes at each point are independent of y, so the slopes are the same along each line parallel to the y-axis. Note that for y = 10, y' = 0. O y' = 10 - y = 0 on the lines x = 0 and y = 10. O The slopes at each point are independent of x, so the slopes are the same along each line parallel to the x-axis. Note that for y = 10, y' = 0. %3D O y' = 10 - y = 0 on the lines x = 0 and y = 0, and y' > o for o < x < T/10, 0 < y < n/10. O y' = 10 - y = 0 on the line y = -x + 1/10, and y' = -1 on the line y = -x.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:Match the differential equation with its direction field.
y' = 10 - y
\ 20} \ \
/ 0:34 /
0.2
Q.1
10
-Q.31 1-0.2 I +0,1
0.1
0 -
0.2 / /0,3
o-2
-1
1
2
-0.3- --0.2
-0.4
0 - 0.2
-0.3
0.1
0.2
30:3+
++++
o-2
-1
2
Give reasons for your answer.
O The slopes at each point are independent of y, so the slopes are the same along each line parallel to the y-axis. Note that for y = 10, y' = 0.
O y' = 10 - y = 0 on the lines x = 0 and y = 10.
O The slopes at each point are independent of x, so the slopes are the same along each line parallel to the x-axis. Note that for y = 10, y' = 0.
O y' = 10 - y = 0 on the lines x = 0 and y = 0, and y' > o for 0 <x< T/10, 0 < y < T/10.
O y' = 10 – y = 0 on the line y = -x + 1/10, and y' = -1 on the line y = -x.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
