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How to solve this kind of equation

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Omri
Omri 2012-12-11
Hi all!
How do I solve the equation y=sin(x)+ e^(0.25x-1.5)? I need the roots...
Also how do I draw it and show the x and y axes?
Thanks!

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回答（2 个）

John Petersen
John Petersen 2012-12-11
x = [-20:.01:20]';
y=sin(x)+exp(0.25*x-1.5);
figure;plot(x,y);grid
  2 个评论
Omri
Omri 2012-12-11
Thanks. I'm also looking for the roots, how can I calculate them?
John Petersen
John Petersen 2012-12-12
Numerically. But, as you can see from the plot, when x <-10 it becomes a sine wave. Also, all the roots are x<5.3 so that can constrain your search.

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Matt J
Matt J 2012-12-11
编辑：Matt J 2012-12-11
The function has infinitely many roots, but here's a way to find one of them
fun=@(x) sin(x)+ exp(0.25*x-1.5)
xroot = fzero(fun, 0)
and to plot in some interval, e.g. [-10,3]
fplot(fun, [-10,3])

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