MATLAB: How to solve differential equations in matrix form

differential equationsdsolvematrix

my code is
    syms vpex(t) vpey(t) vpez(t)
    vpe = [vpex vpey vpez]';
    eqn = diff(vpe) == fp-(2.*wpie+wpep).*vpe-gp;
    C = vpe(0) == [0 0 0]';
    [vpexSol(t), vpeySol(t), vpezSol(t)] = dsolve(eqn, C);
    vpexSol(t) = simplify(vpexSol(t));
    vpeySol(t) = simplify(vpeySol(t));
    vpezSol(t) = simplify(vpezSol(t));
    vpex = vpexSol(sec); vpey = vpeySol(sec); vpez = vpezSol(sec);
    vpe = [vpex vpey vpez]';
but i got the error messages like that below. sym/subsindex (line 663) Invalid indexing or function definition. When defining a function, ensure that the body of the function is a SYM object. When indexing, the input must be numeric, logical or ':'.
how can i solve this problem?

Best Answer

    [vpexSol, vpeySol, vpezSol] = dsolve(eqn, C);
    vpexSol = simplify(vpexSol);
    vpeySol = simplify(vpeySol);
    vpezSol = simplify(vpezSol);
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