The reduced equation for
x² y prime prime - 4x y' + 6y = 4x ³
has solutions of the form y = x ʳ The general solution of the given equation is:
(a) y = C₁ x ² + C₂ x ³ - 2/3 x ⁵
(b) y = C₁ x ² + C₂ x ³ + 4x ³ ln(x)
(c) y = C₁ x ² + C₂ x ³ + 2/2 x ⁵
(d) y = C₁ x ² + C₂ x ³ + 2/3 x ⁴
(e) None of the above.