Internal problem ID [3036]
Book: Elementary Differential equations, Chaundy, 1969
Section: Exercises 3, page 60
Problem number: 2(b).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {x y^{\prime }-y=x^{3}} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 13
dsolve(x*diff(y(x),x)-y(x)=x^3,y(x), singsol=all)
\[ y \left (x \right ) = \left (\frac {x^{2}}{2}+c_{1} \right ) x \]
✓ Solution by Mathematica
Time used: 0.028 (sec). Leaf size: 17
DSolve[x*y'[x]-y[x]==x^3,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x^3}{2}+c_1 x \]