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Solve for c_1
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c_{1}x=\sin(\frac{y}{x})
Swap sides so that all variable terms are on the left hand side.
xc_{1}=\sin(\frac{y}{x})
The equation is in standard form.
\frac{xc_{1}}{x}=\frac{\sin(\frac{y}{x})}{x}
Divide both sides by x.
c_{1}=\frac{\sin(\frac{y}{x})}{x}
Dividing by x undoes the multiplication by x.