Internal problem ID [4107]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 30
Problem number: 870.
ODE order: 1.
ODE degree: 2.
CAS Maple gives this as type [_quadrature]
\[ \boxed {x {y^{\prime }}^{2}-\left (2 x +3 y\right ) y^{\prime }+6 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(x*diff(y(x),x)^2-(2*x+3*y(x))*diff(y(x),x)+6*y(x) = 0,y(x), singsol=all)
\begin{align*} y \left (x \right ) = c_{1} x^{3} y \left (x \right ) = 2 x +c_{1} \end{align*}
✓ Solution by Mathematica
Time used: 0.038 (sec). Leaf size: 26
DSolve[x (y'[x])^2-(2 x+3 y[x])y'[x]+6 y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 x^3 y(x)\to 2 x+c_1 y(x)\to 0 \end{align*}