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dy 16x The direction field for = dx 25y is shown to the right 4 (a) Verify that the straight lines y = x 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→→ ∞o? O D. The solution does not exist for positive x. What can be said about the behavior of the solution in part (b) as x→→∞o? Select the correct choice below and necessary, fill in the answer box to complete your choice. O A. As x→→∞o, the solution approaches 4 and has the line y = 5x as an asymptote. 4 and has the line y = -x as an asymptote. O B. As x→→∞o, the solution approaches OC. The solution does not approach a single value or +∞ as x→→ 00.

dy 16x The direction field for = dx 25y is shown to the right 4 (a) Verify that the straight lines y = x 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→→ ∞o? O D. The solution does not exist for positive x. What can be said about the behavior of the solution in part (b) as x→→∞o? Select the correct choice below and necessary, fill in the answer box to complete your choice. O A. As x→→∞o, the solution approaches 4 and has the line y = 5x as an asymptote. 4 and has the line y = -x as an asymptote. O B. As x→→∞o, the solution approaches OC. The solution does not approach a single value or +∞ as x→→ 00.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 15CR
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dy 16x The direction field for = 25y dx is shown to the right. 4 (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? D. The solution does not exist for positive x. What can be said about the behavior of the solution in part (b) as x→ ∞o? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. As x→→∞o, the solution approaches 4 and has the line y = x as an asymptote. 4 and has the line y = -x as an asymptote. Q O B. As x→→∞o, the solution approaches OC. The solution does not approach a single value or too as x→→∞0. O D. The solution does not exist for negative x.
Transcribed Image Text:dy 16x The direction field for = 25y dx is shown to the right. 4 (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? D. The solution does not exist for positive x. What can be said about the behavior of the solution in part (b) as x→ ∞o? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. As x→→∞o, the solution approaches 4 and has the line y = x as an asymptote. 4 and has the line y = -x as an asymptote. Q O B. As x→→∞o, the solution approaches OC. The solution does not approach a single value or too as x→→∞0. O D. The solution does not exist for negative x.
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