Internal problem ID [11868]
Book: Differential Equations by Shepley L. Ross. Third edition. John Willey. New Delhi.
2004.
Section: Chapter 4, Section 4.5. The Cauchy-Euler Equation. Exercises page 169
Problem number: 14.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
\[ \boxed {x^{2} y^{\prime \prime }-4 y^{\prime } x +6 y=4 x -6} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 19
dsolve(x^2*diff(y(x),x$2)-4*x*diff(y(x),x)+6*y(x)=4*x-6,y(x), singsol=all)
\[ y \left (x \right ) = c_{1} x^{3}+c_{2} x^{2}+2 x -1 \]
✓ Solution by Mathematica
Time used: 0.02 (sec). Leaf size: 22
DSolve[x^2*y''[x]-4*x*y'[x]+6*y[x]==4*x-6,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_2 x^3+c_1 x^2+2 x-1 \]