[tex]\frac{\partial z}{\partial t}=\frac{\partial z}{\partial x}+\frac{\partial z}{\partial y}[/tex](adsbygoogle = window.adsbygoogle || []).push({});

[tex]\mbox{Let }z=T(t)X(x)Y(y)[/tex]

[tex]T'(t)X(x)Y(y)=T(t)X'(x)Y(y)+T(t)X(x)Y'(y) \Rightarrow[/tex]

[tex]\frac{T'(t)}{T(t)}=\frac{X'(x)}{X(x)}+\frac{Y'(y)}{Y(y)} \Rightarrow[/tex]

[tex]\frac{T'(t)}{T(t)}=A \wedge \left(\frac{X'(x)}{X(x)}+\frac{Y'(y)}{Y(y)}=B \rightarrow \frac{X'(x)}{X(x)}=C \wedge \frac{Y'(y)}{Y(y)}=D \right)[/tex]

... and so on.

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# Can I use Separation of Variables like this? (3 terms)

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