44.5.39 problem 39 (a 1)

Internal problem ID [7101]
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 : 39 (a 1)
Date solved : Tuesday, February 04, 2025 at 12:14:29 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=y^{2}-4 \end{align*}

With initial conditions

\begin{align*} y \left (0\right )&=2 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 5

dsolve([diff(y(x),x)=y(x)^2-4,y(0) = 2],y(x), singsol=all)
 

\[ y = 2 \]

✓ Solution by Mathematica

Time used: 0.001 (sec). Leaf size: 6

DSolve[{D[y[x],x]==y[x]^2-4,{y[0]==2}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to 2 \]