Question Number 37424 by mondodotto@gmail.com last updated on 12/Jun/18
$$\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{for}}\:\boldsymbol{{Z}}\left(\boldsymbol{{x}},\boldsymbol{{t}}\right)\boldsymbol{\mathrm{if}}\:\boldsymbol{\mathrm{Z}}_{\boldsymbol{\mathrm{n}}} =\boldsymbol{{x}}^{\mathrm{2}} \boldsymbol{{t}}\:\:\boldsymbol{\mathrm{subjected}}\:\boldsymbol{{Z}}\left(\boldsymbol{{x}},\mathrm{0}\right)=\boldsymbol{{x}}^{\mathrm{2}} \\ $$$$\boldsymbol{\mathrm{and}}\:\boldsymbol{{Z}}\left(\mathrm{1},\boldsymbol{{t}}\right)=\boldsymbol{\mathrm{cos}{t}} \\ $$