44.5.68 problem 58 (a 1)

Internal problem ID [7130]
Book : A First Course in Differential Equations with Modeling Applications by Dennis G. Zill. 12 ed. Metric version. 2024. Cengage learning.
Section : Chapter 2. First order differential equations. Section 2.2 Separable equations. Exercises 2.2 at page 53
Problem number : 58 (a 1)
Date solved : Tuesday, February 04, 2025 at 12:28:46 AM
CAS classification : [_quadrature]

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

With initial conditions

\begin{align*} y \left (0\right )&=1 \end{align*}

✓ Solution by Maple

Time used: 0.005 (sec). Leaf size: 6

dsolve([diff(y(x),x)=y(x),y(0) = 1],y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.020 (sec). Leaf size: 8

DSolve[{D[y[x],x]==y[x],{y[0]==1}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to e^x \]