56.1.5 problem 5

Internal problem ID [8717]
Book : Own collection of miscellaneous problems
Section : section 1.0
Problem number : 5
Date solved : Monday, January 27, 2025 at 04:20:25 PM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=y+1 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 10

dsolve(diff(y(x),x) = y(x)+1,y(x), singsol=all)
 

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

✓ Solution by Mathematica

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

DSolve[D[y[x],x] == y[x]+1,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to -1+c_1 e^x \\ y(x)\to -1 \\ \end{align*}