50.13.20 problem 19(a)

Internal problem ID [8035]
Book : Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz. McGraw-Hill NY. 2007. 1st Edition.
Section : Chapter 2. Section 2.7. HIGHER ORDER LINEAR EQUATIONS, COUPLED HARMONIC OSCILLATORS Page 98
Problem number : 19(a)
Date solved : Monday, January 27, 2025 at 03:36:59 PM
CAS classification : [[_3rd_order, _missing_y]]

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

✓ Solution by Maple

Time used: 0.005 (sec). Leaf size: 14

dsolve(x^3*diff(y(x),x$3)+3*x^2*diff(y(x),x$2)=0,y(x), singsol=all)
 

\[ y = c_{1} +\frac {c_{2}}{x}+c_3 x \]

✓ Solution by Mathematica

Time used: 0.028 (sec). Leaf size: 21

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

\[ y(x)\to \frac {c_1}{2 x}+c_3 x+c_2 \]