The general solution of the differential equation \(\rm 2x^2\frac{d^2y}{dx^2}+x\frac{dy}{dx}-6y=0\) is:
1
\(\rm y(x)=C_1x^2+\frac{C_2}{x\sqrt x}\)
2
\(\rm y(x)=C_1x^2+{C_2}x^{\frac{3}{2}}\)
3
\(\rm y(x)=\frac{C_1}{x^2}+C_2x^{\frac{3}{2}}\)
4
\(\rm y(x)=C_1x^{-\frac{3}{2}}+C_2x^4\)