56.1.8 problem 8

Internal problem ID [8720]
Book : Own collection of miscellaneous problems
Section : section 1.0
Problem number : 8
Date solved : Monday, January 27, 2025 at 04:20:28 PM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 8

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

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

✓ Solution by Mathematica

Time used: 0.023 (sec). Leaf size: 16

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

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