Question:
Mark $(\sqrt{)}$ against the correct answer in the following:
the solution of the DE $x \cos y d y=\left(x \mathrm{e}^{x} \log x+\mathrm{e}^{x}\right) d x$ is
A. $\sin y=\mathrm{e}^{x} \log x+C$
B. $\sin y-\mathrm{e}^{x} \log x=\mathrm{C}$
C. $\sin y=\mathrm{e}^{x}(\log x)+C$
D. none of these
Solution: