Internal problem ID [12295]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.1, page 40
Problem number: 1 (A).
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: 0.003 (sec). Leaf size: 16
DSolve[y'[x]==1-x,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {x^2}{2}+x+c_1 \]