Match the entries of Column-I with those of
Column-II.
\begin{tabular}{|l|l|l|l|}
\hline \multic....
Match the entries of Column-I with those of
Column-II.
\( \mathrm{P} \)
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multicolumn{2}{c|}{ Column-II } \\
\hline (A) & \begin{tabular}{l}
The differential \\
equation corresponding \\
to primitive \( y=e^{c x} \) is
\end{tabular} & (p) & \( x=c\left(x^{2}-y^{2}\right) \) \\
\hline (B) & \begin{tabular}{l}
The differential \\
equation of all straight \\
lines passing through \\
the origin is
\end{tabular} & (q) & \( \frac{d y}{d x}=\left(\frac{y}{x}\right) \log y \) \\
\hline (C) & \begin{tabular}{l}
The solution of the \\
differential equation \\
\( \frac{d y}{d x}=\frac{(1+x) y}{(y-1) x} \) is
\end{tabular} & \( \frac{d y}{d x}=\frac{y}{x} \) \\
\hline (D) & \begin{tabular}{l}
The solution of the \\
differential equation \\
\( \left(x^{2}+y^{2}\right) d x=2 x y d y \) \\
is
\end{tabular} & (s) & \( \log x y+x-y=c \) \\
\hline
\end{tabular}
(1) (A) \( \rightarrow(\mathrm{r}),(\mathrm{B}) \rightarrow(\mathrm{q}),(\mathrm{C}) \rightarrow(\mathrm{s}),(\mathrm{D}) \rightarrow(\mathrm{p}) \)
(2) (A) \( \rightarrow \) (r), (B) \( \rightarrow \) (s), (C) \( \rightarrow \) (q), (D) \( \rightarrow \) (p)
(3) (A) \( \rightarrow \) (q), (B) \( \rightarrow(\mathrm{r}),(\mathrm{C}) \rightarrow(\mathrm{p}),(\mathrm{D}) \rightarrow(\mathrm{s}) \)
(4) (A) \( \rightarrow(\mathrm{q}),(\mathrm{B}) \rightarrow(\mathrm{r}),(\mathrm{C}) \rightarrow(\mathrm{s}),(\mathrm{D}) \rightarrow(\mathrm{p}) \)
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