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[itex]\frac{\partial}{\partial t}\left(\frac{a}{X}\right)+\frac{X}{b}\frac{ \partial Y}{\partial t}+\frac{c}{X}=0[/itex]

where [itex]a[/itex], [itex]b[/itex] and [itex]c[/itex] are constants and [itex]X[/itex] is a function of

[itex]t[/itex]. I want to solve it for [itex]Y[/itex] analytically (if possible) or numerically.