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Solve for d
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\sin(x+4)dy-dx=0
Subtract dx from both sides.
\left(\sin(x+4)y-x\right)d=0
Combine all terms containing d.
\left(y\sin(x+4)-x\right)d=0
The equation is in standard form.
d=0
Divide 0 by \sin(x+4)y-x.