Internal problem ID [13134]
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: 32.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {\left (x +2\right ) y^{\prime }=x^{3}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 25
dsolve((x+2)*diff(y(x),x)-x^3=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {x^{3}}{3}-x^{2}+4 x -8 \ln \left (x +2\right )+c_{1} \]
✓ Solution by Mathematica
Time used: 0.005 (sec). Leaf size: 32
DSolve[(x+2)*y'[x]-x^3==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x^3}{3}-x^2+4 x-8 \log (x+2)+\frac {44}{3}+c_1 \]