Consider the given Differential equation
\({x^2}\frac{{{d^2}y}}{{d{x^2}}} - 2x\frac{{dy}}{{dx}} - 4y = {x^4}\)1
The roots are 4, -1
2
The roots are 2, 1
3
The solution for the given D.E is \(A{x^4} + \frac{B}{x} + \frac{{\left( {\log x} \right){x^4}}}{5}\)
4
The solution for the given D.E is \(A{x^2} + \frac{B}{x} + \frac{{\left( {\log x} \right){x^2}}}{5}\)