73.7.3 problem 3

Internal problem ID [15161]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 8. Review exercises for part of part II. page 143
Problem number : 3
Date solved : Tuesday, January 28, 2025 at 07:38:51 AM
CAS classification : [_separable]

\begin{align*} 4 y^{2}-x^{2} y^{2}+y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 18

dsolve(4*y(x)^2-x^2*y(x)^2+diff(y(x),x)=0,y(x), singsol=all)
 

\[ y = -\frac {3}{x^{3}-3 c_{1} -12 x} \]

✓ Solution by Mathematica

Time used: 0.142 (sec). Leaf size: 25

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

\begin{align*} y(x)\to -\frac {3}{x^3-12 x+3 c_1} \\ y(x)\to 0 \\ \end{align*}