Plotting a Differential Equation with respect to time.

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Greetings. I have a non-linear ODE that I want to solve given the parameters. I am familiar with solving ODEs using 'dsolve' and 'ode45' functions, but I do not know how to plot the parameters with respect to time. I have uploaded a picture of my assignment to make things clear, can anyone help me with that? Thank you very much in advance.

回答(1 个)

Ngoc Thanh Hung Bui
%% in dsolve you just need to plot the solution with the time, for example:
syms theta(t)
sol = dsolve(...)
t= 0:1:40;
plot(t, sol)
but the given equation contain sin(theta) so there is no analytic solution for it, so dsolve isnt appropriated here
%% in the ode45 function there is a paramether for time, for example:
tspan = 0:1:40;
init = [1 0];
[t,y] = ode45(@pendulum, tspan, init);
plot(t,y)

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