How to solve this kind of equation

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!

[Walter Roberson]

That is not a polynomial equation!

[Omri]

Sorry, fixed the topic.

Answer 1

[John Petersen]

x = [-20:.01:20]';
y=sin(x)+exp(0.25*x-1.5);
figure;plot(x,y);grid

[Omri]

Thanks. I'm also looking for the roots, how can I calculate them?

[John Petersen]

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.

Answer 2

[Matt J]

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])