hon-homego Assume that ult, x) sällsfies the best equation with Neumann B.C. du ot こ den ox? I in o Dutt, 0) = 0, - du (

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hon-homego Assume that ult, x) sällsfies the best equation with Neumann B.C. du ot こ den ox? I in o Dutt, 0) = 0, - du (EL): OX ax Show that V(t, x) = n(t, x) + also satisfies ov + ১X d} | یا۵ ox? b Find a value of a st. v satisfies the heat equation with homogeneous B.C. Cie, du alt, ale de de Ct, L) = 0) OX Bonus . Suppose dur (t, oJf dan (t, 2), where a salergies 61 dan the heat equation and Can you find • v saltsities the heat covetten hey (to bz oz DV (4,1), MCE , x) - VIE, x) does not depend ot ox² v(t, x) such that ? dx дх on time