25.1.2 problem 2

Internal problem ID [4214]
Book : Advanced Mathematica, Book2, Perkin and Perkin, 1992
Section : Chapter 11.3, page 316
Problem number : 2
Date solved : Monday, January 27, 2025 at 08:42:33 AM
CAS classification : [_separable]

\begin{align*} y^{\prime }&=6 x y^{2} \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 13

dsolve(diff(y(x),x)=6*x*y(x)^2,y(x), singsol=all)
 

\[ y \left (x \right ) = \frac {1}{-3 x^{2}+c_{1}} \]

✓ Solution by Mathematica

Time used: 0.114 (sec). Leaf size: 22

DSolve[D[y[x],x]==6*x*y[x]^2,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to -\frac {1}{3 x^2+c_1} \\ y(x)\to 0 \\ \end{align*}