74.15.13 problem 13

Internal problem ID [16452]
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
Date solved : Tuesday, January 28, 2025 at 09:08:19 AM
CAS classification : [[_3rd_order, _with_linear_symmetries]]

\begin{align*} x^{3} y^{\prime \prime \prime }+22 x^{2} y^{\prime \prime }+124 x y^{\prime }+140 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.004 (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)
 

\[ y = \frac {c_{2} x^{8}+c_{1} x^{3}+c_{3}}{x^{10}} \]

✓ Solution by Mathematica

Time used: 0.005 (sec). Leaf size: 24

DSolve[x^3*D[y[x],{x,3}]+22*x^2*D[y[x],{x,2}]+124*x*D[y[x],x]+140*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {c_3 x^8+c_2 x^3+c_1}{x^{10}} \]