44.2.37 problem 34 (a)

Internal problem ID [6969]
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. Section 1.2 Initial value problems. Exercises 1.2 at page 19
Problem number : 34 (a)
Date solved : Monday, January 27, 2025 at 02:39:07 PM
CAS classification : [_separable]

\begin{align*} y^{\prime } y&=3 x \end{align*}

With initial conditions

\begin{align*} y \left (2\right )&=-4 \end{align*}

✓ Solution by Maple

Time used: 0.024 (sec). Leaf size: 15

dsolve([y(x)*diff(y(x),x)=3*x,y(2) = -4],y(x), singsol=all)
 

\[ y = -\sqrt {3 x^{2}+4} \]

✓ Solution by Mathematica

Time used: 0.044 (sec). Leaf size: 18

DSolve[{y[x]*D[y[x],x]==3*x,{y[2]==-4}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to -\sqrt {3 x^2+4} \]