Answer the following questions with the given slope fie take a rough guess at your answer. a) What is f'(1,2) = b) Draw a graph for y passing through (-1,1)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Answer the following questions with the given slope field for f'(x.y). Some questions you can only
take a rough guess at your answer.
3
a) What is f'(1,2) =
b) Draw a graph for y passing through (-1,1)
c) Draw what Euler's Method would look in the slope
-1
field if you attempted to estimate f(3) with an initial
-2
value of (1,-3) and h = 1.
-3
-2
-1
0 1 2 3
d) Give your estimate for f(3) from Euler's Method.
f(3) =
2.
Transcribed Image Text:Answer the following questions with the given slope field for f'(x.y). Some questions you can only take a rough guess at your answer. 3 a) What is f'(1,2) = b) Draw a graph for y passing through (-1,1) c) Draw what Euler's Method would look in the slope -1 field if you attempted to estimate f(3) with an initial -2 value of (1,-3) and h = 1. -3 -2 -1 0 1 2 3 d) Give your estimate for f(3) from Euler's Method. f(3) = 2.
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