 initialcondition - Maple Help

Initial Conditions Calling Sequence initialcondition[function name](eqn_1,eqn_2,...) function(args) Parameters

 eqn_n - equation or set of equations defining a system function - function name used to construct the initial condition Description

 • 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. Examples

 > $\mathrm{initialcondition}\left(\left\{{x}^{3}-{y}^{2}x+xy=3,{x}^{2}+{y}^{2}=1\right\}\right)$
 $\left\{{{x}}^{{2}}{+}{{y}}^{{2}}{=}{1}{,}{{x}}^{{3}}{-}{{y}}^{{2}}{}{x}{+}{x}{}{y}{=}{3}{,}{\mathrm{f0}}{}\left({0}\right){=}{\mathrm{a0}}\right\}$ (1)
 > $\mathrm{initialcondition}\left[f\right]\left(\mathrm{Diff}\left(f\left(x\right),x,x\right)=\mathrm{sin}\left(x\right)\right)$
 $\left\{\frac{{{ⅆ}}^{{2}}}{{ⅆ}{{x}}^{{2}}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}{f}{}\left({x}\right){=}{\mathrm{sin}}{}\left({x}\right){,}{{\mathrm{D}}}^{\left({\mathrm{n1}}\right)}{}\left({f}\right){}\left({0}\right){=}{0}\right\}$ (2)