Teaching EMRS TGT Mock Test 2023 Mathematics Differential Equations Solution of Differential Equations
The general solution of the differential equation \(\rm x\cos \frac{y}{x}\left( {y\,dx + x\,dy} \right) = y\sin \frac{y}{x}\left( {x\,dy - y\,dx} \right) \) is
1
\(\log(xy)=\log\cos\frac{x}{y}+C\)
2
\(\cos \left( {\frac{y}{x}} \right) = \frac{C}{{xy}} \)
3
\(\log(xy)=\log\sec\frac{x}{y}+C\)
4
x + y + C = 0