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xE^{x}f=x\sin(2x)
The equation is in standard form.
\frac{xE^{x}f}{xE^{x}}=\frac{x\sin(2x)}{xE^{x}}
Divide both sides by E^{x}x.
f=\frac{x\sin(2x)}{xE^{x}}
Dividing by E^{x}x undoes the multiplication by E^{x}x.
f=\frac{\sin(2x)}{E^{x}}
Divide \sin(2x)x by E^{x}x.