any intermediate stage.33. Show that the following nonlinear system has 18 solutions if0 < α < 2π, 0 < β < 2π, and 0 < γ < 2π.sin a + 2 cos ß + 3 tan y = 02 sin a + 5 cos ß + 3 tan y = 0- sin a 5 cos ß + 5 tan y = 0- sin a,[Hint: Begin by making the substitutions x =y = cos ß, and z tan y.]39. Ifhati

We have to prove that the non linear system has 18 solutions.

Answered: 33. Show that the following nonlinear…

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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33. Show that the following nonlinear system has 18 solutions if 0≤a ≤ 2,0 ≤ B ≤ 27, and 0 ≤ y ≤ 2. sin a + 2 cos ß + 3 tan y = 0 2 sin a + 5 cos ß + 3 tan y = 0 sin a 5 cos ß + 5 tan y = 0 - - [Hint: Begin by making the substitutions x = y = cos ß, and z = tan y.] sin a,