Question
If $y=e^{a x}$, show that $x \frac{d y}{d x}=y \log y$
$y=e^{a x}$
$y=e^{a x} \ldots \ldots \ldots \ldots \ldots .(i)$
$\log y=a x \ldots \ldots \ldots \ldots \ldots . . .(i i)$
$\frac{d y}{d x}=a e^{a x}$
$\frac{d y}{d x}=a y$
$x \frac{d y}{d x}=a x y$
$x \frac{d y}{d x}=y \log y$
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$\cot ^3\left[\log \left(x^3\right)\right]$