Internal problem ID [7050]
Book: Own collection of miscellaneous problems
Section: section 1.0
Problem number: 6.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=1+x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(x),x) = 1+x,y(x), singsol=all)
\[ y \left (x \right ) = \frac {1}{2} x^{2}+x +c_{1} \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 16
DSolve[y'[x]== 1+x,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x^2}{2}+x+c_1 \]