CUET and UG exam CUET UG 2025 Mock Test Series Mathematics Differential Equations Solution of Differential Equations
The solution of \(\rm {{dy}\over {dx}} = {{x+y}\over {x-y}}\) is
1
\(\rm \log x = tan^{-1} {y\over x}-{1\over 2}log(1+({y\over x})^2)+c\)
2
\( \log x = tan {y\over x}+{1\over 2}log(1+({y\over x})^2)+c\)
3
\(\rm \log x = tan^{-1} {y\over x}+{1\over 2}log(1-({y\over x})^2)+c\)
4
\(\rm \log x = tan {x\over y}+{1\over 2}log(1+({x\over y})^2)+c\)