Match the differential equation with its direction fleld. y' 2-y 1.0f Q,5 -1.5 1-1.0 I +0,51 0.5- - 1.0 1 1.5T Q.5 -1,5- -1.0 -0.5- 0.5 1.0 0.5 LO ///// 1.5 O-2 -1 0. 1 Give reasons for your answer. O y' = 2 - y = 0 on the line y = -x + 1/2, and y' = -1 on the line y = -x. 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 = 2, y' = 0. y' = 2 - y =0 on the lines x = 0 and y = 2. O The slopes at each polint are independent of y, so the slopes are the same along each line parallel to the y-axis. Note that for y = 2, y' = 0. O y' = 2 - y = 0 on the lines x = 0 and y = 0, and y' > 0 for o < x < T/2, 0
Match the differential equation with its direction fleld. y' 2-y 1.0f Q,5 -1.5 1-1.0 I +0,51 0.5- - 1.0 1 1.5T Q.5 -1,5- -1.0 -0.5- 0.5 1.0 0.5 LO ///// 1.5 O-2 -1 0. 1 Give reasons for your answer. O y' = 2 - y = 0 on the line y = -x + 1/2, and y' = -1 on the line y = -x. 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 = 2, y' = 0. y' = 2 - y =0 on the lines x = 0 and y = 2. O The slopes at each polint are independent of y, so the slopes are the same along each line parallel to the y-axis. Note that for y = 2, y' = 0. O y' = 2 - y = 0 on the lines x = 0 and y = 0, and y' > 0 for o < x < T/2, 0
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' = 2-y
-4
1.0
Q,5
1.5 1-1.0 I +0,5\1$ Q5
1.0
O-2
1.0
0,5
-1,5- -1.O - -0.5 -
0.5 -1.0 - -15
ニ6.5
1.5-
O-2
Give reasons for your answer.
O y' = 2 - y = 0 on the line y = -x + 1/2, and y' = -1 on the line y = -x.
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 = 2, y' = 0.
O y' = 2 - y = 0 on the lines x = 0 and y = 2
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 = 2, y' = 0.
O y' = 2 - y = 0 on the lines x = 0 and y = 0, and y' > 0 for o < x < n/2, 0 <y < T/2.
Nood Hel
++++o
I/// /
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.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,
