2-u-t-2-4-2-u-x-2-u-t-0-sin-x-u-t-t-0-x-

Question Number 181435 by SEKRET last updated on 25/Nov/22

((𝛅^2 u)/(𝛅t^2 )) = 4 ((𝛅^2 u)/(𝛅x^2 )) ; u∣_(t=0) =sin(x) ; ((𝛅u)/(𝛅t))∣_(t=0) =x

$$\:\:\:\frac{\boldsymbol{\delta}^{\mathrm{2}} \boldsymbol{\mathrm{u}}}{\boldsymbol{\delta\mathrm{t}}^{\mathrm{2}} }\:=\:\mathrm{4}\:\frac{\boldsymbol{\delta}^{\mathrm{2}} \boldsymbol{\mathrm{u}}}{\boldsymbol{\delta\mathrm{x}}^{\mathrm{2}} }\:\:\:;\:\:\boldsymbol{\mathrm{u}}\mid_{\boldsymbol{\mathrm{t}}=\mathrm{0}} =\boldsymbol{\mathrm{sin}}\left(\boldsymbol{\mathrm{x}}\right)\:\:\:;\:\:\:\frac{\boldsymbol{\delta\mathrm{u}}}{\boldsymbol{\delta\mathrm{t}}}\mid_{\boldsymbol{\mathrm{t}}=\mathrm{0}} =\boldsymbol{\mathrm{x}} \\ $$

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2-u-t-2-4-2-u-x-2-u-t-0-sin-x-u-t-t-0-x-

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