a. graphs on graph paper taped next to problem, b. label and scale axes. By hand. Use 0 ≤ t ≤ 3, 0 ≤ y ≤ 3. Do not use w

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a. graphs on graph paper taped next to problem, b. label
and scale axes.
By hand. Use 0 ≤ t ≤ 3, 0
≤ y ≤ 3. Do not use window suggested in text.
Use 4x4 integer grid. Do not use 15 by 15 grid. Include table of
values. On sketch draw solutions with y(0) = 0.5 and y(0) = 2 and
describe their behavior.)
Create slope fields as directed for each of the following DE’s.
Sketch in a few solution curves based on the slope field. If more
than 10 slope marks are required, use a computer or calculator.
What can you say about the long term behavior of the differential
equation (what happens for various initial
conditions)?
1) DE is y 0 = y 2 − t for −1 ≤ t ≤ 5 and −2 ≤ y ≤ 2 using a 15
by 15 grid or larger.