Curve with slope y/x + f(y/x): solve by y = vx

1. A.
   $\sin^{-1}y = \log x + c$
2. B.
   $\frac{y}{x} = \sin^{-1}x + c$
3. C.
   $\frac{y}{x} = \sqrt{x^2-y^2} + c$
4. D.
   $\sin^{-1}\frac{y}{x} = \log x + c$

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1. A.
   $y = \tan^{-1}\left(\log\frac{e}{x}\right)$
2. B.
   $y = x^2\tan^{-1}\left(\log\frac{e}{x}\right)$
3. C.
   $y = x\tan^{-1}\left(\log\frac{e}{x}\right)$
4. D.
   $y = \frac{1}{x}\tan^{-1}\left(\log\frac{e}{x}\right)$

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1. A.
   $\sin\frac{y}{x}=\log(x)+\frac{1}{2}$
2. B.
   $\csc\frac{y}{x}=\log(x)+2$
3. C.
   $\sec^2\frac{y}{x}=\log(x)+2$
4. D.
   $\cos^2\frac{y}{x}=\log(x)+\frac{1}{2}$

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