I have a system of PDEs
$\frac{\partial f}{\partial t}-\frac{\partial f}{\partial x} = -i a(t)f, \qquad (1)$
$\frac{\partial f}{\partial y} - \frac{\partial f}{\partial x} = -i f, \qquad (2) $
where $f=f(x,\;y,\;t).$
How to solve this system?
2026-05-04 13:44:28.1777902268
How to solve the following system of PDE?
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