Internal problem ID [3599]
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]
Solve \begin {gather*} \boxed {x \left (y^{\prime }\right )^{2}-\left (2 x +3 y\right ) y^{\prime }+6 y=0} \end {gather*}
✓ 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 \relax (x ) = x^{3} c_{1} \\ y \relax (x ) = 2 x +c_{1} \\ \end{align*}
✓ Solution by Mathematica
Time used: 0.04 (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*}