64.1.12 problem 5(b)

Internal problem ID [13257]
Book : Differential Equations by Shepley L. Ross. Third edition. John Willey. New Delhi. 2004.
Section : Chapter 1, Differential equations and their solutions. Exercises page 13
Problem number : 5(b)
Date solved : Tuesday, January 28, 2025 at 05:13:18 AM
CAS classification : [[_3rd_order, _fully, _exact, _linear]]

\begin{align*} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-10 x y^{\prime }-8 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 18

dsolve(x^3*diff(y(x),x$3)+2*x^2*diff(y(x),x$2)-10*x*diff(y(x),x)-8*y(x)=0,y(x), singsol=all)
 

\[ y = \frac {c_{3} x^{6}+c_{1} x +c_{2}}{x^{2}} \]

✓ Solution by Mathematica

Time used: 0.006 (sec). Leaf size: 22

DSolve[x^3*D[y[x],{x,3}]+2*x^2*D[y[x],{x,2}]-10*x*D[y[x],x]-8*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {c_3 x^6+c_2 x+c_1}{x^2} \]