1. y' = y (a) Plot the Slope field. You can use GeoGebra or the following: https://aeb019.hosted.uark.edu/dfield.html (I will recommend using this link instead of GeoGebra for this one) Plot a few solutions. Make some comments about what you observed. There is no right or wrong answer. Take a screenshot. If you are having a problem with a screenshot, you can simply draw it by hand in your notebook.

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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1. y' :
(a) Plot the Slope field. You can use GeoGebra or the following:
https://aeb019.hosted.uark.edu/dfield.html (I will recommend using this link instead of GeoGebra
for this one)
Plot a few solutions. Make some comments about what you observed. There is no right or wrong
answer. Take a screenshot. If you are having a problem with a screenshot, you can simply draw it
by hand in your notebook.
(b) Now solve the differential equation and find the general solution. Then use the initial
condition y(1) = 2 to find the specific solution. Graph the specific solution using GeoGebra.
Does the graph of the specific solution looks similar to the solutions curve you draw in part (a)?
Transcribed Image Text:1. y' : (a) Plot the Slope field. You can use GeoGebra or the following: https://aeb019.hosted.uark.edu/dfield.html (I will recommend using this link instead of GeoGebra for this one) Plot a few solutions. Make some comments about what you observed. There is no right or wrong answer. Take a screenshot. If you are having a problem with a screenshot, you can simply draw it by hand in your notebook. (b) Now solve the differential equation and find the general solution. Then use the initial condition y(1) = 2 to find the specific solution. Graph the specific solution using GeoGebra. Does the graph of the specific solution looks similar to the solutions curve you draw in part (a)?
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