1.7 problem 7

Internal problem ID [6297]

Book: Own collection of miscellaneous problems
Section: section 1.0
Problem number: 7.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {y^{\prime }-x=0} \]

Solution by Maple

Time used: 0.0 (sec). Leaf size: 11

dsolve(diff(y(x),x) = x,y(x), singsol=all)
 

\[ y \left (x \right ) = \frac {x^{2}}{2}+c_{1} \]

Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 15

DSolve[y'[x] == x,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to \frac {x^2}{2}+c_1 \\ \end{align*}