Plotting the ODE without an analytical solution

2020 5 25
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更新时间：2020 5 25
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How do I plot the equation
d^2(x)/dt^2=0.002cos(x-t)-sin(x)
where x(0)=0.2 and x'(0)=0 for t=0:100?
I asked the question before, but the graph that was plotted was starting from x(0)=0
the answer I got before was
dfun = @(t, x) [x(2); 0.002*cos(x(1)-t)-sin(x(1))];
time = [0 100];
ic = [0; 0];
[t, x] = ode15s(dfun, time, ic);
plot(t, x);
legend({'x', 'xdot'})

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Steven Lord
Steven Lord 2020-5-25

0 个投票

If your initial conditions are supposed to be: "where x(0)=0.2 and x'(0)=0 for t=0:100?" why are you specifying them as x(0) = 0 and x'(0) = 0?
ic = [0; 0];
Instead specify your desired initial conditions.
ic = [0.2; 0];

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