problem with plotting differential equation

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goran
goran 2014-1-5
编辑： Mischa Kim 2014-4-9
i have differential equation y'+y*cos(t)=sin(t)*cos(t)+4. how i can solve this equation. i used p=dsolve('Dy+y*cos(t)=sin(t)*cos(t)+4','y(0)=0') i receive p =
exp(-sin(t))*int((exp(sin(x))*(sin(2*x) + 8))/2, x == 0..t, IgnoreAnalyticConstraints)
then i used
plot(p) i receive Error using plot Conversion to double from sym is not possible.
when i use ezpolot(p,[-1,1])
i receive Error using ezplot (line 163) exp(-sin(t))*int((exp(sin(x))*(sin(2*x) + 8))/2, x == 0..t, IgnoreAnalyticConstraints) cannot be plotted in the xy-plane.
Error in sym/ezplot (line 76) h = ezplot(fhandle(f),varargin{:});
how i plot graph for differential equation

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回答（1 个）

Mischa Kim
Mischa Kim 2014-4-9
编辑：Mischa Kim 2014-4-9
Goran, use something like
function myODE()
tspan = 0:0.1:10;
IC = 1;
[t,y] = ode45(@ODEfun,tspan,IC);
plot(t,y,'r')
xlabel('t')
ylabel('y')
grid
end
function dY = ODEfun(t,y)
dY = -y*cos(t) + sin(t)*cos(t) + 4;
end

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