56.1.6 problem 6

Internal problem ID [8718]
Book : Own collection of miscellaneous problems
Section : section 1.0
Problem number : 6
Date solved : Monday, January 27, 2025 at 04:20:27 PM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=1+x \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 12

dsolve(diff(y(x),x) = 1+x,y(x), singsol=all)
 

\[ y = \frac {1}{2} x^{2}+x +c_{1} \]

✓ Solution by Mathematica

Time used: 0.004 (sec). Leaf size: 16

DSolve[D[y[x],x]== 1+x,y[x],x,IncludeSingularSolutions -> True]
 

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