The direction field for dy 16x dx 25y is shown to the right. (a) Verify that the straight lines y = 5x are solution curves, provided x*0. (b) Sketch the solution curve with initial condition y(0) = -3. (c) Sketch the solution curve with initial condition y(2) = 1. (d) What can be said about the behavior of the above solutions as x→+ ∞o? How about x→-00? (b) Which of the following shows the solution curve with initial condition y(0) = -3? O A. O B. O C. Q Q Q Q

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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solve only b)

The direction field for = is shown to the right.
dy 16x
25y
dx
4
x are solution curves, provided x = 0.
(a) Verify that the straight lines y =
(b) Sketch the solution curve with initial condition y(0) = -3.
(c) Sketch the solution curve with initial condition y(2) = 1.
(d) What can be said about the behavior of the above solutions as x→ + ∞0?
How about x→-00?
(b) Which of the following shows the solution curve with initial condition y(0) = -3?
O A.
O B.
O C.
Q
Q
Transcribed Image Text:The direction field for = is shown to the right. dy 16x 25y dx 4 x are solution curves, provided x = 0. (a) Verify that the straight lines y = (b) Sketch the solution curve with initial condition y(0) = -3. (c) Sketch the solution curve with initial condition y(2) = 1. (d) What can be said about the behavior of the above solutions as x→ + ∞0? How about x→-00? (b) Which of the following shows the solution curve with initial condition y(0) = -3? O A. O B. O C. Q Q
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