animez

Help read the graph, the formula model is in the picture.

Attached Images

wave.jpg (20.3 KB, 11 views)

Country Boy

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"?

skipjack

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 $\beta= 6\pi$.

animez

By reading the graph, I meant to find α,β,A,B, for y(x)=e^(αx)(Asin(βx)+Bcos(βx)).

And that equation is differential equations of second order with 2 complex roots.

skipjack

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.