Internal problem ID [14722]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.7, page 195
Problem number: 13.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _with_linear_symmetries]]
\[ \boxed {x^{3} y^{\prime \prime \prime }+22 x^{2} y^{\prime \prime }+124 y^{\prime } x +140 y=0} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 20
dsolve(x^3*diff(y(x),x$3)+22*x^2*diff(y(x),x$2)+124*x*diff(y(x),x)+140*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {c_{3} x^{8}+c_{1} x^{3}+c_{2}}{x^{10}} \]
✓ Solution by Mathematica
Time used: 0.005 (sec). Leaf size: 24
DSolve[x^3*y'''[x]+22*x^2*y''[x]+124*x*y'[x]+140*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {c_3 x^8+c_2 x^3+c_1}{x^{10}} \]