57.1.10 problem 10

Internal problem ID [8994]
Book : First order enumerated odes
Section : section 1
Problem number : 10
Date solved : Monday, January 27, 2025 at 05:26:42 PM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 10

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

\[ y = {\mathrm e}^{b x} c_{1} \]

✓ Solution by Mathematica

Time used: 0.025 (sec). Leaf size: 18

DSolve[D[y[x],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*}