Internal problem ID [144]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Chapter 1 review problems. Page 78
Problem number: 24.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {9 x^{2} y^{2}+x^{\frac {3}{2}} y^{\prime }-y^{2}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 22
dsolve(9*x^2*y(x)^2+x^(3/2)*diff(y(x),x) = y(x)^2,y(x), singsol=all)
\[ y \relax (x ) = \frac {\sqrt {x}}{2+6 x^{2}+c_{1} \sqrt {x}} \]
✓ Solution by Mathematica
Time used: 0.171 (sec). Leaf size: 30
DSolve[9*x^2*y[x]^2+x^(3/2)*y'[x] == y[x]^2,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {1}{\frac {6 x^2+2}{\sqrt {x}}-c_1} \\ y(x)\to 0 \\ \end{align*}