Match the differential equation with its direction field. y' = 7(x + y) - 1 -0.4- 0.2 q.2 d4 Give reasons for your answer. 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 = 7, y' = 0. 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 = 7, y' = 0. O y' = 7(x + y) - 1 = 0 on the line y = -x + 1/7, and y' = -1 on the line y = -x. O y' = 7(x + y) - 1 = 0 on the lines x = 0 and y = 7. O y' = 7(x + y) - 1 = 0 on the lines x = 0 and y = 0, and y'> o for o
Match the differential equation with its direction field. y' = 7(x + y) - 1 -0.4- 0.2 q.2 d4 Give reasons for your answer. 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 = 7, y' = 0. 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 = 7, y' = 0. O y' = 7(x + y) - 1 = 0 on the line y = -x + 1/7, and y' = -1 on the line y = -x. O y' = 7(x + y) - 1 = 0 on the lines x = 0 and y = 7. O y' = 7(x + y) - 1 = 0 on the lines x = 0 and y = 0, and y'> o for o
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' = 7(x + y) - 1
y
/ 14T
y
12
+0¥4
-0.2
0.2
-0.4- -
0.2
0.2
0.4
o-2
1
-1
Give reasons for your answer.
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 = 7, v' = 0.
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 = 7, y' = 0.
O y' = 7(x + y) - 1 = 0 on the line y = -x + 1/7, and y' = -1 on the line y = -x.
O y' = 7(x + y) - 1 = 0 on the lines x = 0 and y = 7.
O y' = 7(x + y) - 1 = 0 on the lines x = 0 and y = 0, and y'> 0 for o <x < T/7, 0 < y < T/7.
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 1 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,
