Info
Questa domanda è chiusa. Riaprila per modificarla o per rispondere.
Need Help Transcribing differential equations in to Matlab code
1 visualizzazione (ultimi 30 giorni)
Mostra commenti meno recenti
I am trying to transcribe the following differential equation that describes a falling body:
dy/dt=mg/K (1-e^(-K/m t)) (with air resistance)
dy/dt=gt (without air resistance)
I would like to create a function and then call the function using ode45 and then plot a graph. I am still trying to get a good handle of matlab, but I have not been successful.
0 Commenti
Risposte (2)
Fabricio Castro
il 7 Lug 2018
Hi JB
Your problem is kind of simple to solve. With the following code you will achieve what you want:
%Supose you may want to use a time interval of [0,3] with an initial
%condition y0 equal to 50 meters
timeInterval = linspace(0,3,51);
y0 = 50;
%Defining parameters like mass (m), air resistance (K), and gravity (g)
m = 5;
K = 2;
g = 9.8;
%Using ode45 function to solve the falling body equation
[t,y] = ode45(@(t,y) (m*g)/(K*(1-exp(-K/(m*t)))), timeInterval, y0);
%Plot the result
figure
subplot(1,2,1)
plot(t,((m.*g)./(K.*(1-exp(-K./(m.*t))))),'-bo')
xlabel('time')
ylabel('dy/dt')
title('ODE graph')
set(gca,'FontSize',18)
subplot(1,2,2)
plot(t,y,'-ro')
xlabel('time')
ylabel('y')
title('Solution graph')
set(gca,'FontSize',18)
Thanks
2 Commenti
Star Strider
il 7 Lug 2018
@Fabricio Castro — We do not supply complete code to homework problems here on MATLAB Answers. The OP must demonstrate an effort. We will then help to get the posted code running.
Star Strider
il 7 Lug 2018
The syntax of your function is correct. However you need to spend some time with the documentation.
For future reference, see the documentation on Anonymous Functions (link), and Vectorization (link).
0 Commenti
Questa domanda è chiusa.
Vedere anche
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!