Looking for help on graphing

Hello,

I have this equation:

uSol(t) = (2*exp(-(5*t)/8)*(39*cos((39^(1/2)*t)/8) + 5*39^(1/2)*sin((39^(1/2)*t)/8)))/39

and I would like to graph it for t = 0 through 50. How can I do this?

Thank you!

Answer 1

[Star Strider]

One approach —

syms t 
uSol(t) = (2*exp(-(5*t)/8)*(39*cos((39^(1/2)*t)/8) + 5*39^(1/2)*sin((39^(1/2)*t)/8)))/39

uSol(t) = 

figure
fplot(uSol, [0 50])
grid

.

[Nikhil Sapre]

This is a better solution but the user will need to have Symbolic Math Toolbox to execute it.

[Star Strider]

My pleasure!

Answer 2

[Nikhil Sapre]

Hi Caleb,

Please find an example of the code below.

t = linspace(0,50,51);
uSol = zeros(1,length(t));
for i = 1:1:length(t)
    uSol(i) = (2*exp(-(5*t(i))/8)*(39*cos((39^(1/2)*t(i))/8) + 5*39^(1/2)*sin((39^(1/2)*t(i))/8)))/39;    
end

plot(t,uSol);