1.3 problem 3

Internal problem ID [7319]

Book: First order enumerated odes
Section: section 1
Problem number: 3.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

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

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]
                                                                                    
                                                                                    
 

\[ y(x)\to \frac {x^2}{2}+c_1 \]