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differential equations – Second organize inhomogeneous PDE

I’m making an attempt to get an require resolution to this second organize inhomogeneous PDE:

$$

frac{partial^2}{partial{x}^2} y(x, z) – frac{partial^2}{partial z^2} y(x, z)=ok^2y(x, z)-frac{1}{3}e^{4(x-2z)}y(x, z)

$$

the place $ok^2$ is a ceaseless. No border circumstances.

Any concepts? I attempted with $y(x-cz)$ and with variable separation however it is not the privilege route.

Yesterday I shared the identical query on Mathematics, perhaps I’m luckier right here

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