1.8 problem 3(b)

Internal problem ID [2439]

Book: Elementary Differential Equations, Martin, Reissner, 2nd ed, 1961
Section: Exercis 2, page 5
Problem number: 3(b).
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_separable]

\[ \boxed {y^{\prime }-y^{2} x^{2}=0} \]

✓ Solution by Maple

Time used: 0.0 (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: 0.107 (sec). Leaf size: 22

DSolve[y'[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*}