Problem 19. Consider the differential equation y =f(x),where the graph of the function f is shown below. Use this graph to construct a slope field for this differential equation, then use your slope field to approximate the graph of the solution which passes through the point (-1,1) and the solution which passes through the point – 4,–1). y -5,0 4.5 -4.0 -3.5 -3.0 -2.5 -2.0 -1.5 -1.0 -0.5 0.5 4

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Problem 19. Consider the differential equation y =f(x), where the graph of the function f is shown below. Use this graph
to construct a slope field for this differential equation, then use your slope field to approximate the graph of the solution which
passes through the point (-1,1) and the solution which passes through the point -4,-1).
y
-5.0
-4.5
-4.0
-3.5
-3.0
-2.5
-2.0
-1.5
-1.0
-0.5
0,5
X
-2
-4
-6
-8
Transcribed Image Text:Problem 19. Consider the differential equation y =f(x), where the graph of the function f is shown below. Use this graph to construct a slope field for this differential equation, then use your slope field to approximate the graph of the solution which passes through the point (-1,1) and the solution which passes through the point -4,-1). y -5.0 -4.5 -4.0 -3.5 -3.0 -2.5 -2.0 -1.5 -1.0 -0.5 0,5 X -2 -4 -6 -8
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