1.10 problem 10

Internal problem ID [7326]

Book: First order enumerated odes
Section: section 1
Problem number: 10.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {y^{\prime }-b y=0} \]

Solution by Maple

Time used: 0.0 (sec). Leaf size: 10

dsolve(diff(y(x),x)=b*y(x),y(x), singsol=all)
 

\[ y \left (x \right ) = {\mathrm e}^{x b} c_{1} \]

Solution by Mathematica

Time used: 0.03 (sec). Leaf size: 18

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

\begin{align*} y(x)\to c_1 e^{b x} y(x)\to 0 \end{align*}