57.1.17 problem 17

Internal problem ID [9001]
Book : First order enumerated odes
Section : section 1
Problem number : 17
Date solved : Monday, January 27, 2025 at 05:26:49 PM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 12

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

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

✓ Solution by Mathematica

Time used: 0.026 (sec). Leaf size: 20

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

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