The bad thing here is that the variable with respect to which partial differentiation is being done also appears in the PDE. How to get this one done?
Since the independent variable is not at all present, the PDE equation is equivalent to the linear homogeneus DE...
(1)
... the solution of which is...
(2)
... where , are two linearly independent solutions of (1) and , two arbitrary functions of the only...
Kind regards