44.4.18 problem 5 (b)

Internal problem ID [7031]
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 2.1 Solution curves without a solution. Exercises 2.1 at page 44
Problem number : 5 (b)
Date solved : Monday, January 27, 2025 at 02:41:36 PM
CAS classification : [_quadrature]

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

With initial conditions

\begin{align*} y \left (0\right )&=-3 \end{align*}

✓ Solution by Maple

Time used: 0.006 (sec). Leaf size: 11

dsolve([diff(y(x),x)=x,y(0) = -3],y(x), singsol=all)
 

\[ y = \frac {x^{2}}{2}-3 \]

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 14

DSolve[{D[y[x],x]==x,{y[0]==-3}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {1}{2} \left (x^2-6\right ) \]