The integrating factor of the differential equation $(x \log x) \frac{dy}{dx} + y = 2 \log x$ is

What is obtained when an aqueous solution of aluminum chloride is heated to dryness?

The solution of $\frac{dy}{dx} + 1 = e^{x+y}$ is

$A$ body executes simple harmonic motion under the action of a force $F_1$ with a time period $(4/5) \ s$. If the force is changed to $F_2$,it executes $SHM$ with a time period $(3/5) \ s$. If both the forces $F_1$ and $F_2$ act simultaneously in the same direction on the body,its time period (in $seconds$) is

If $f: R \rightarrow R$ and $g: R \rightarrow R$ are defined by $f(x)=x-[x]$ and $g(x)=[x]$ for $x \in R$,where $[x]$ is the greatest integer not exceeding $x$,then for every $x \in R, f(g(x))$ is equal to

$A$ fall in glomerular filtration rate $(GFR)$ activates