d f = y \sin x d x - \cos x d y
Solve for f
f=-\frac{-y\sin(dx^{2})+\cos(dxy)}{d}
d\neq 0
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df=y\sin(x^{2}d)-\cos(xdy)
Multiply x and x to get x^{2}.
df=y\sin(dx^{2})-\cos(dxy)
The equation is in standard form.
\frac{df}{d}=\frac{y\sin(dx^{2})-\cos(dxy)}{d}
Divide both sides by d.
f=\frac{y\sin(dx^{2})-\cos(dxy)}{d}
Dividing by d undoes the multiplication by d.
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