For problems 13-22, find the orthogonal trajectories. 13. x2 + 2y2 = k² 14. y? = kx³ Calculus for Engineers and Scientists, Volume II 39 ©2014-17 Last update: July 12, 2017 3.2. SEPARABLE DIFFERENTIAL EQUATIONS 15. х2 + Зу? %3D k 16. х2 + у? — 2ky 3D0 17. х2 — у? %3D k 18. ху %3D k

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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For problems 13-22, find the orthogonal trajectories.
13. x2 + 2y2 = k²
14. y? = kx³
Calculus for Engineers and Scientists, Volume II
39
©2014-17
Last update: July 12, 2017
3.2. SEPARABLE DIFFERENTIAL EQUATIONS
15. х2 + Зу? %3D k
16. х2 + у? — 2ky 3D0
17. х2 — у? %3D k
18. ху %3D k
Transcribed Image Text:For problems 13-22, find the orthogonal trajectories. 13. x2 + 2y2 = k² 14. y? = kx³ Calculus for Engineers and Scientists, Volume II 39 ©2014-17 Last update: July 12, 2017 3.2. SEPARABLE DIFFERENTIAL EQUATIONS 15. х2 + Зу? %3D k 16. х2 + у? — 2ky 3D0 17. х2 — у? %3D k 18. ху %3D k
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