Internal problem ID [13113]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } x +3 y=x^{3}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(3*y(x)-x^3+x*diff(y(x),x)=0,y(x), singsol=all)
\[ y = \frac {\frac {x^{6}}{6}+c_{1}}{x^{3}} \]
✓ Solution by Mathematica
Time used: 0.031 (sec). Leaf size: 19
DSolve[3*y[x]-x^3+x*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x^3}{6}+\frac {c_1}{x^3} \]