1.14 problem 14

Internal problem ID [6577]

Book: First order enumerated odes
Section: section 1
Problem number: 14.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

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

Solution by Maple

Time used: 0.0 (sec). Leaf size: 15

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

\[ y \relax (x ) = \frac {a \,x^{2}}{2 c}+c_{1} \]

Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 19

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

\begin{align*} y(x)\to \frac {a x^2}{2 c}+c_1 \\ \end{align*}