Internal problem ID [6581]
Book: First order enumerated odes
Section: section 1
Problem number: 18.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {c y^{\prime }-b y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(c*diff(y(x),x)=b*y(x),y(x), singsol=all)
\[ y \relax (x ) = {\mathrm e}^{\frac {b x}{c}} c_{1} \]
✓ Solution by Mathematica
Time used: 0.041 (sec). Leaf size: 21
DSolve[c*y'[x]==b*y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 e^{\frac {b x}{c}} \\ y(x)\to 0 \\ \end{align*}