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I need two solutions to two different tensor diffeqs. I think I may have the solution to the sourceless equation, however I am in the dark about the one with the source.

[tex] \left(\partial_{\gamma}\partial_{\alpha}+\imath k^{\beta}g_{\alpha\beta}\partial_{\gamma}\right) \phi=T_{\gamma\alpha}\phi [/tex]

and

[tex] \left(\partial_{\gamma}\partial_{\alpha}+\imath k^{\beta}g_{\alpha\beta}\partial_{\gamma}\right) \phi=0 [/tex].

Any help would be appreciated.

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# Solution to tensor differential equations

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