Internal problem ID [13137]
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: 35.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {2 y+\left (x +1\right ) y^{\prime }=6 x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 22
dsolve((2*y(x)-6*x)+(x+1)*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {2 x^{3}+3 x^{2}+c_{1}}{\left (1+x \right )^{2}} \]
✓ Solution by Mathematica
Time used: 0.027 (sec). Leaf size: 24
DSolve[(2*y[x]-6*x)+(x+1)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {2 x^3+3 x^2+c_1}{(x+1)^2} \]