1.13 problem 13

Internal problem ID [6576]

Book: First order enumerated odes
Section: section 1
Problem number: 13.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

Solve \begin {gather*} \boxed {c y^{\prime }-a=0} \end {gather*}

Solution by Maple

Time used: 0.0 (sec). Leaf size: 12

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

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

Solution by Mathematica

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

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

\begin{align*} y(x)\to \frac {a x}{c}+c_1 \\ \end{align*}