A pilot is told by ground-control that he will encounter unusual air flow streamlines in his flight path (a streamline is a curve y = f(x) in the X-Y plane ). These streamlines are given by a first order differential equation of the form %3D dy ax dx By where a and ß are constant parameters. Solve to show the streamlines are a family of concentric ellipses centred on the origin (0,0) of the X and Y-axis. If a = ß show that the streamlines are a family of %3! concentric circles.
A pilot is told by ground-control that he will encounter unusual air flow streamlines in his flight path (a streamline is a curve y = f(x) in the X-Y plane ). These streamlines are given by a first order differential equation of the form %3D dy ax dx By where a and ß are constant parameters. Solve to show the streamlines are a family of concentric ellipses centred on the origin (0,0) of the X and Y-axis. If a = ß show that the streamlines are a family of %3! concentric circles.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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