Heat equation

How do I solve this heat equation?
$ k\frac{\partial t^2}{\partial x^2}+g^'''=\rho c\frac{\partial t}{\partial\theta} $
$ Boudary conditions : t(0,\theta)=0;<br />
                                      t(1,\theta)=0;<br />
Initial condition         : t(x,0)=0 $;
$ g^''' =100 ,(heat generation) $

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