MCQ
The general solution of differential equation $y \log y d x-x d y=0$ is __________ .
- A$x=e^{c y}$
- ✓$y=e^{c x}$
- C$y=e^{-c x}$
- D$x=e^{-c y}$
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$\frac{19}{8}$
$\frac{8}{19}$
$\frac{19}{2}$
$\frac{3}{4}$
($S1$) $f(x)=0$ for only one value of $x$ is $[0, \pi]$.
($S2$) $\mathrm{f}(\mathrm{x})$ is decreasing in $\left[0, \frac{\pi}{2}\right]$ and increasing in $\left[\frac{\pi}{2}, \pi\right] .$