44.3.13 problem 21 (b)

Internal problem ID [6994]
Book : A First Course in Differential Equations with Modeling Applications by Dennis G. Zill. 12 ed. Metric version. 2024. Cengage learning.
Section : Chapter 1. Introduction to differential equations. Review problems at page 34
Problem number : 21 (b)
Date solved : Monday, January 27, 2025 at 02:40:11 PM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 19

dsolve(diff(y(x),x)^2=4*x^2,y(x), singsol=all)
 

\begin{align*} y &= x^{2}+c_{1} \\ y &= -x^{2}+c_{1} \\ \end{align*}

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 23

DSolve[D[y[x],x]^2==4*x^2,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to -x^2+c_1 \\ y(x)\to x^2+c_1 \\ \end{align*}