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How to Get Second Derivative in ode45 solver?
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Dear MATLAB users;
I would like to solve a nonlinear equation using ode45. ode45 solver provides time (t), position (x), velocity (x_dot) .
I need acceleration , second derivative (x_dotdot). However, I can't get x_dotdot as output from ode45. I looked at the options/parameteres of ode45. I couldn't find there information about that.
I know that I can get x_dotdot, using x_dot numerically by subtraction of xdot(step n) and xdot(n+1 step), by typing extra codes. But I just wondered if it is possible to do it without writing codes? Is it possible to get second derivative (x_dotdot) of ode45 by using options in ode45?
Thanks in advance.
Ercan
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Accepted Answer
Sam Chak
on 21 Jul 2022
You don't need to..., because you can see the elephant in the room (not sure if this is the correct metaphorical idiom; I'm not good at English idioms).
Say the system is given by
.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1073110/image.png)
f = @(t, x) [x(2); - 2*x(2) - x(1)];
[t, x] = ode45(f, [0 10], [1 0]);
xddot = - 2*x(:,2) - x(:,1); % the acceleration, second derivative (x_dotdot)
plot(t, xddot), grid on, xlabel('t')
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