Internal problem ID [9582]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-f \relax (x )=0} \end {gather*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 10
dsolve(diff(y(x),x)=f(x),y(x), singsol=all)
\[ y \relax (x ) = c_{1}+\int f \relax (x )d x \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 18
DSolve[y'[x]==f[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \int _1^xf(K[1])dK[1]+c_1 \\ \end{align*}