Match the items of Column-I with those in Column II.
\begin{tabular}{|l|l|l|l|}
\hline \multicol....
Match the items of Column-I with those in Column II.
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multicolumn{2}{c|}{ Column-II } \\
\hline (A) & \begin{tabular}{l}
The solution of \\
\( \cos (x+y) d y=d x \) is
\end{tabular} & (p) & \( y=\tan \left(\frac{x+y}{2}\right)+c \) \\
\hline (B) & \begin{tabular}{l}
The general solution of \\
the differential equation \\
\( (x+y) d x+x d y=0 \) is
\end{tabular} & (q) & \( y\left(1+x^{3}\right)=\frac{x}{2}-\frac{1}{4} \sin 2 x+c \) \\
\hline (C) & \begin{tabular}{l}
The solution of the equation \\
\( \frac{d y}{d x}=\frac{y}{x}\left(\log \frac{y}{x}+1\right) \) is
\end{tabular} & (r) & \( \log \left(\frac{y}{x}\right)=c x \) \\
\hline (D) & \begin{tabular}{l}
The solution of the \\
differential equation \\
\( \frac{d y}{d x}+\frac{3 x^{2}}{1+x^{3}} y=\frac{\sin ^{2} x}{1+x^{3}} \) is
\end{tabular} & (s) & \( x^{2}+2 x y=c \) \\
\hline
\end{tabular}
(1) (A) \( \rightarrow(\mathrm{r}),(\mathrm{B}) \rightarrow(\mathrm{s}),(\mathrm{C}) \rightarrow(\mathrm{q}),(\mathrm{D}) \rightarrow(\mathrm{p}) \)
(2) (A) \( \rightarrow \) (p), (B) \( \rightarrow \) (s), (C) \( \rightarrow \) (r), (D) \( \rightarrow \) (q)
(3) (A) \( \rightarrow \) (s), (B) \( \rightarrow \) (p), (C) \( \rightarrow \) (r), (D) \( \rightarrow \) (q)
(4) (A) \( \rightarrow \) (p), (B) \( \rightarrow \) (q), (C) \( \rightarrow \) (s), (D) \( \rightarrow \) (r)
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