dy/dx = (ax + by + c)^2: substitute v = ax + by + c

1. A.
   $\log\dfrac{2-y}{2-x} = 2(y-1)$
2. B.
   $-\log\dfrac{1+x-y}{1-x+y} = x+y-2$
3. C.
   $\log\dfrac{2-x}{2-y} = x-y$
4. D.
   $-\log\dfrac{1-x+y}{1+x-y} = 2(x-1)$

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1. A.
   $\tan^{- 1}(x + y) = x + c$, where c is the constant of integration
2. B.
   $x + y = \tan x + c$, where c is the constant of integration
3. C.
   $x + y = \cot^{- 1}x + c$, where c is the constant of integration
4. D.
   $x + y = \sin^{- 1}(x + y) + c$, where c is the constant of integration

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1. A.
   $3x + 27y = \tan\left\lbrack 3\left( x + \frac{\pi}{12} \right) \right\rbrack$
2. B.
   $3x + 27y = \tan\left( x + \frac{\pi}{4} \right)$
3. C.
   $3x + 27y = \tan\left( x + \frac{\pi}{12} \right)$
4. D.
   $3x + 27y = \tan\left\lbrack 3\left( x + \frac{\pi}{4} \right) \right\rbrack$

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1. A.
   $\tan^{-1}\left(\dfrac{9x + y + 5}{2}\right) = -2x + c$
2. B.
   $\tan^{-1}\left(\dfrac{9x + y + 5}{2}\right) = 2x + c$
3. C.
   $\tan^{-1}\left(\dfrac{9x + y + 5}{3}\right) = -3x + c$
4. D.
   $\tan^{-1}\left(\dfrac{9x + y + 5}{3}\right) = 3x + c$

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