PG entrance exam CUET PG 2025 Mock Test Engineering Mathematics Differential Equations Cauchy's Equation
Solve \({x^2}\frac{{{d^2}y}}{{d{x^2}}} - x\frac{{dy}}{{dx}} + y = \log x\)
1
\(y = \left( {{c_1} + {c_2}\log x} \right)x + \log x + 2\)
2
\(y = \left( {{c_1} + {c_2}\log x} \right)x + {e^x} + 2\)
3
\(y = \left( {{c_1} + {c_2}\log x} \right)x + {e^x}\log x + 2\)
4
\(y = \left( {{c_1} + {c_2}x} \right)\log x + \log x + 2\)