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The Maxima on-line user's manual

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Ic2

Function: ic2 (<solution>, <xval>, <yval>, <dval>) Solves initial value problems for second-order differential equations. Here <solution> is a general solution to the equation, as found by ode2, <xval> gives the initial value for the independent variable in the form <x> = <x0>, <yval> gives the initial value of the dependent variable in the form <y> = <y0>, and <dval> gives the initial value for the first derivative of the dependent variable with respect to independent variable, in the form diff(<y>,<x>) = <dy0> (diff does not have to be quoted).

m:1;
c:1;
k:1;
F0:10;
omega:3;
forzante: F0*cos(omega*t);
eq: m*1 then "caso di smorzamento ipercritico" else if zita=0 then"caso non smorzato" else "caso di smorzamento subrcritico"; sol: ode2(eq, x, t); sol1: ic2(sol, t=0, x=1, 'diff(x, t)=0); plot2d(rhs (sol1),[t,0,20],[x,0,20]); "soluzione a regime"; solreg:y=(30*sin(3*t) - 80*cos(3*t))/73; plot2d(rhs (solreg),[t,0,20],[y,-2,2]); ' title='Ic2 Example' width='30%' />

See ode2 for an example of its usage.

(%o1)                                true
(%i2) 

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