The initialcondition routine can be used to augment a set of equations with additional equations defining the initial conditions for the given system.

The set of equations is formed from the arguments to the procedure. This set is further augmented by a new equation of the form ${\mathrm{D}}^{\left(n\right)}\left(f\right)\left(a\right)=b$ if derivatives are present, or $f\left(a\right)=b$ otherwise.

$\mathrm{initialcondition}\left(\left\{x^3-y^{2}x+xy=3\,x^2+y^2=1\right\}\right)$

$\left\{x^2+y^2=1\,x^3-y^{2}x+xy=3\,\mathrm{f0}\left(0\right)=\mathrm{a0}\right\}$

$\mathrm{initialcondition}\left[f\right]\left(\mathrm{Diff}\left(f\left(x\right)\,x\,x\right)=\sin \left(x\right)\right)$

$\left\{\frac{{\ⅆ}^2}{\ⅆx^2}f\left(x\right)=\sin \left(x\right)\,{\mathrm{D}}^{\left(\mathrm{n1}\right)}\left(f\right)\left(0\right)=0\right\}$