Internal problem ID [13423]
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: 1.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } x -2 y=-6 x^{3}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(x*diff(y(x),x)=2*y(x)-6*x^3,y(x), singsol=all)
\[ y \left (x \right ) = c_{1} x^{2}-6 x^{3} \]
✓ Solution by Mathematica
Time used: 0.028 (sec). Leaf size: 15
DSolve[x*y'[x]==2*y[x]-6*x^3,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^2 (-6 x+c_1) \]