Internal problem ID [2755]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 1
Problem number: 0.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-a f \left (x \right )=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(x),x) = a*f(x),y(x), singsol=all)
\[ y \left (x \right ) = \int a f \left (x \right )d x +c_{1} \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 20
DSolve[y'[x]==a*f[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \int _1^xa f(K[1])dK[1]+c_1 \\ \end{align*}