List of top Mathematics Questions on Differential Equations asked in BHU PET

One solution (about $ x = 0 $ ) of the differential equation
$$ x^2 \frac{d^2 y}{dx^2} - 3x \frac{dy}{dx} + 4y = 0 $$ is $ y_1(x) = c_1x^2$ . A second linearly independent solution (with another constant $ c_2 $ ) is: