Internal problem ID [7710]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 130.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {2 x y^{\prime }-y-2 x^{3}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 15
dsolve(2*x*diff(y(x),x) - y(x) -2*x^3=0,y(x), singsol=all)
\[ y \relax (x ) = \frac {2 x^{3}}{5}+c_{1} \sqrt {x} \]
✓ Solution by Mathematica
Time used: 0.029 (sec). Leaf size: 21
DSolve[2*x*y'[x] - y[x] -2*x^3==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {2 x^3}{5}+c_1 \sqrt {x} \\ \end{align*}