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How to solve this equation 
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#1
Dec513, 08:19 AM

P: 111

Hi,
I can't come up with a general forumla for x in this equation. Any advice ? x = y sin(x) 


#2
Dec513, 08:26 AM

HW Helper
P: 3,515

There is no analytic solution for x. Your best bet is to use Newton's method or any other approximation method that will give you as much accuracy as you desire.



#3
Dec513, 08:51 AM

P: 229

Beyond an analytic solution, there isn't a unique solution. The function [itex]\mathbb R\setminus \pi\mathbb Z \to \mathbb R[/itex] taking [itex]x\to y=\dfrac{x}{\sin x}[/itex] isn't onetoone. In fact, there are infinitely many places at which veryclosebutdifferent values of [itex]x[/itex] are taken to the exact same [itex]y[/itex] value.



#4
Dec513, 10:46 AM

HW Helper
P: 1,965

How to solve this equation



#5
Dec513, 11:28 AM

P: 229




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