Internal problem ID [13110]
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: 8.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {4 x y+y^{\prime } x^{2}=6} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 15
dsolve(4*x*y(x)-6+x^2*diff(y(x),x)=0,y(x), singsol=all)
\[ y = \frac {2 x^{3}+c_{1}}{x^{4}} \]
✓ Solution by Mathematica
Time used: 0.027 (sec). Leaf size: 17
DSolve[4*x*y[x]-6+x^2*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {2 x^3+c_1}{x^4} \]