16.1.8 problem 3(b)

Internal problem ID [3410]
Book : Elementary Differential Equations, Martin, Reissner, 2nd ed, 1961
Section : Exercis 2, page 5
Problem number : 3(b)
Date solved : Monday, January 27, 2025 at 07:35:56 AM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 15

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

\[ y \left (x \right ) = -\frac {3}{x^{3}-3 c_{1}} \]

✓ Solution by Mathematica

Time used: 0.130 (sec). Leaf size: 22

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

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