Particular solution of e^(-x)(y + 1) dy + (cos^2 x - sin 2x) y dx = 0 with y(0) = 1

1. A.
   $y + \log y + e^x\cos^2 x = 2$
2. B.
   $\log(y+1) + e^x\cos^2 x = 1$
3. C.
   $y + \log y = e^x\cos^2 x$
4. D.
   $(y+1) + e^x\cos^2 x = 2$

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1. A.
   $\log y + \dfrac{1}{y} + e^x\cos^2 x = 1$
2. B.
   $\log y + y + e^x\cos^2 x = 2$
3. C.
   $(y + 1) + e^x\cos^2 x = 2$
4. D.
   $\log\left(y + \dfrac{1}{y}\right) + e^x\cos^2 x = 1$

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