73.7.11 problem 11

Internal problem ID [15169]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 8. Review exercises for part of part II. page 143
Problem number : 11
Date solved : Tuesday, January 28, 2025 at 07:39:52 AM
CAS classification : [_linear]

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

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 16

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

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

✓ Solution by Mathematica

Time used: 0.028 (sec). Leaf size: 19

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

\[ y(x)\to \frac {x^3}{6}+\frac {c_1}{x^3} \]