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Coupled partial differential and integro-differential equation

I have derived two equations of the following type $\dfrac{\delta A}{\delta x}=a\dfrac{\delta B}{\delta t}-b\dfrac{\delta^3 B}{\delta x^2 \delta t}$ and $\dfrac{\delta B}{\delta x}=\int _0^l e^{-\lambda|x-x'|}\dfrac{\delta A(x')}{\delta t} dx'$ Where A and B are functions of 'x' and 't'. x and x' are any point between 0 and $l$. a, b and $\lambda$ are constants. Is it possible to get a partial differential equation on B alone from these equations

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