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## Main Question or Discussion Point

What if I have the general solution and I want to find the differential equation where it came from?

Say for example my general solution is [tex]y=sin(ax + b)[/tex] with [tex]a[/tex] and [tex]b[/tex] constants.

How could I find the differential equation?

Say for example my general solution is [tex]y=sin(ax + b)[/tex] with [tex]a[/tex] and [tex]b[/tex] constants.

How could I find the differential equation?