Internal problem ID [14948]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 2. The method of isoclines. Exercises page 27
Problem number: 21.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=x +1} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 12
dsolve(diff(y(x),x)=x+1,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]==x+1,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x^2}{2}+x+c_1 \]