57.1.13 problem 13

Internal problem ID [8997]
Book : First order enumerated odes
Section : section 1
Problem number : 13
Date solved : Monday, January 27, 2025 at 05:26:45 PM
CAS classification : [_quadrature]

\begin{align*} c y^{\prime }&=a \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 12

dsolve(c*diff(y(x),x)=a,y(x), singsol=all)
 

\[ y = \frac {a x}{c}+c_{1} \]

✓ Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 14

DSolve[c*D[y[x],x]==a,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {a x}{c}+c_1 \]