61.1.1 problem 1.1.1

Internal problem ID [12001]
Book : Handbook of exact solutions for ordinary differential equations. By Polyanin and Zaitsev. Second edition
Section : Chapter 1, First-Order differential equations
Problem number : 1.1.1
Date solved : Monday, January 27, 2025 at 11:48:00 PM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=f \left (x \right ) \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 10

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

\[ y = \int fd x +c_{1} \]

✓ Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 18

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

\[ y(x)\to \int _1^xf(K[1])dK[1]+c_1 \]