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Suppose that a hare starts at the origin (0, 0) and runs with speed Vh along the y-axis toward a tree located at (0, a). At the same time a dog starts at the point (b, 0) on the x-axis and runs with speed Vd directly toward the hare. Derive a differential equation that describes the dog's path and determine its shape.

Suppose that a hare starts at the origin (0, 0) and runs with speed Vh along the y-axis toward a tree located at (0, a). At the same time a dog starts at the point (b, 0) on the x-axis and runs with speed Vd directly toward the hare. Derive a differential equation that describes the dog's path and determine its shape.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Suppose that a hare starts at the origin (0, 0) and runs with speed Vh along the y-axis toward a tree located at (0, a). At the same time a dog starts at the point (b, 0) on the x-axis and runs with speed Vd directly toward the hare. Derive a differential equation that describes the dog's path and determine its shape.
Transcribed Image Text:Suppose that a hare starts at the origin (0, 0) and runs with speed Vh along the y-axis toward a tree located at (0, a). At the same time a dog starts at the point (b, 0) on the x-axis and runs with speed Vd directly toward the hare. Derive a differential equation that describes the dog's path and determine its shape.
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