# Solved: Pursuit Curve In a naval exercise a ship S1 is ## Problem 5.1.113 Chapter 5.3

Differential Equations with Boundary-Value Problems, | 8th Edition

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Problem 5.1.113

Pursuit Curve In a naval exercise a ship S1 is pursued by a submarine S2 as shown in Figure 5.3.8. Ship S1 departs point (0, 0) at t 0 and proceeds along a straightline course (the y-axis) at a constant speed v1. The submarine S2 keeps ship S1 in visual contact, indicated by the straight dashed line L in the figure while traveling at a constant speed v2 along a curve C. Assume that ship S2 starts at the point (a, 0), a 0, at t 0 and that L is tangent to C. (a) Determine a mathematical model that describes the curve C. (b) Find an explicit solution of the differential equation. For convenience define r v1v2. (c) Determine whether the paths of S1 and S2 will ever intersect by considering the cases r 1, r 1, and r 1. [Hint: , where s is arc length measured along C.] dt

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MATH 415 { Lecture 1 Solving linear systems Wednesday 18 Jan 2016 Textbook reading: Chapter 1.3, Chapter 2.2 (only pages 78 and 79) Suggested practice exercises: Chapter 1.3: 1, 3, 5, 6, 11, 17, 23, 24. Chap- ter 2.2: 2, 8. Khan Academy Video: Matrices: Reduced Row Echelon Form 1 1 Systems of Linear...

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##### ISBN: 9781111827069

This textbook survival guide was created for the textbook: Differential Equations with Boundary-Value Problems,, edition: 8. Since the solution to 5.1.113 from 5.3 chapter was answered, more than 228 students have viewed the full step-by-step answer. Differential Equations with Boundary-Value Problems, was written by Patricia and is associated to the ISBN: 9781111827069. This full solution covers the following key subjects: . This expansive textbook survival guide covers 85 chapters, and 2652 solutions. The full step-by-step solution to problem: 5.1.113 from chapter: 5.3 was answered by Patricia, our top Math solution expert on 01/02/18, 09:05PM. The answer to “Pursuit Curve In a naval exercise a ship S1 is pursued by a submarine S2 as shown in Figure 5.3.8. Ship S1 departs point (0, 0) at t 0 and proceeds along a straightline course (the y-axis) at a constant speed v1. The submarine S2 keeps ship S1 in visual contact, indicated by the straight dashed line L in the figure while traveling at a constant speed v2 along a curve C. Assume that ship S2 starts at the point (a, 0), a 0, at t 0 and that L is tangent to C. (a) Determine a mathematical model that describes the curve C. (b) Find an explicit solution of the differential equation. For convenience define r v1v2. (c) Determine whether the paths of S1 and S2 will ever intersect by considering the cases r 1, r 1, and r 1. [Hint: , where s is arc length measured along C.] dt” is broken down into a number of easy to follow steps, and 152 words.

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