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. Sketch the slope field of the ODE y = -xy. Hence sketch its solutions. Hint: Begin by showing the slope along each axis (x = 0 and y = 0). Then consider the slope along the curve y = 1/x, then 2/x etc. Determine the general solution to the ODE and compare the result to your sketch.

. Sketch the slope field of the ODE y = -xy. Hence sketch its solutions. Hint: Begin by showing the slope along each axis (x = 0 and y = 0). Then consider the slope along the curve y = 1/x, then 2/x etc. Determine the general solution to the ODE and compare the result to your sketch.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Sketch the slope field of the ODE y' = = -xy. Hence sketch its solutions. Hint: Begin by showing the slope along each axis (x = 0 and y = 0). Then consider the slope along the curve y = 1/x, then 2/x etc. Determine the general solution to the ODE and compare the result to your sketch.
Transcribed Image Text:1. Sketch the slope field of the ODE y' = = -xy. Hence sketch its solutions. Hint: Begin by showing the slope along each axis (x = 0 and y = 0). Then consider the slope along the curve y = 1/x, then 2/x etc. Determine the general solution to the ODE and compare the result to your sketch.
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