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Differential Equations Ordinary and Partial Differential Equations Math Forum |
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November 22nd, 2016, 03:06 PM | #1 |
Newbie Joined: Nov 2016 From: Finland Posts: 3 Thanks: 0 | Help read wave
Help read the graph, the formula model is in the picture.
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November 22nd, 2016, 05:03 PM | #2 |
Math Team Joined: Jan 2015 From: Alabama Posts: 3,099 Thanks: 850 |
What do you mean by "read the graph"- what do you want to learn from the graph? And why was this posted under "differential equations"? |
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November 22nd, 2016, 07:44 PM | #3 |
Global Moderator Joined: Dec 2006 Posts: 18,844 Thanks: 1566 |
Presumably, "read the graph" means that the values of the four constants in the given equation are to be estimated by inspection of the graph. For example, the equation implies f(0) = B. As the graph shows that f(0) = 1, one can conclude that B = 1. I would suggest that $\beta= 6\pi$. |
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November 23rd, 2016, 03:06 AM | #4 | |
Newbie Joined: Nov 2016 From: Finland Posts: 3 Thanks: 0 | Quote:
And that equation is differential equations of second order with 2 complex roots. Last edited by skipjack; February 7th, 2017 at 04:17 PM. | |
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November 23rd, 2016, 04:52 AM | #5 |
Global Moderator Joined: Dec 2006 Posts: 18,844 Thanks: 1566 |
If you accept my suggestions that B = 1 and $\beta$ = 6$\pi$, I would further suggest that A = tan(2$\pi$/5). These values of A and $\beta$ are based on assumptions about the exact values of $x$ where the graph's turning points occur. Unfortunately, one can't be so precise in giving the value of $\alpha$, because the graph depicts the function using a rather broad line.
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