Internal problem ID [5740]
Book: Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz.
McGraw-Hill NY. 2007. 1st Edition.
Section: Chapter 4. Power Series Solutions and Special Functions. Problems for review and discovert.
(A) Drill Exercises . Page 194
Problem number: 3(b).
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _with_linear_symmetries]]
Solve \begin {gather*} \boxed {x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-3 x y^{\prime }+y \left (x -1\right )=0} \end {gather*} With the expansion point for the power series method at \(x = 0\).
✓ Solution by Maple
Time used: 0.14 (sec). Leaf size: 12916
Order:=8; dsolve(x^3*diff(y(x),x$3)+x^2*diff(y(x),x$2)-3*x*diff(y(x),x)+(x-1)*y(x)=0,y(x),type='series',x=0);
\[ \text {Expression too large to display} \]
✓ Solution by Mathematica
Time used: 0.048 (sec). Leaf size: 11815
AsymptoticDSolveValue[x^3*y'''[x]+x^2*y''[x]-3*x*y'[x]+(x-1)*y[x]==0,y[x],{x,0,7}]
Too large to display