Internal problem ID [7763]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 183.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {\left (2 x^{4}-x \right ) y^{\prime }-2 \left (x^{3}-1\right ) y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 18
dsolve((2*x^4-x)*diff(y(x),x) - 2*(x^3-1)*y(x)=0,y(x), singsol=all)
\[ y \relax (x ) = \frac {c_{1} x^{2}}{\left (2 x^{3}-1\right )^{\frac {1}{3}}} \]
✓ Solution by Mathematica
Time used: 0.045 (sec). Leaf size: 27
DSolve[(2*x^4-x)*y'[x] - 2*(x^3-1)*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {c_1 x^2}{\sqrt [3]{1-2 x^3}} \\ y(x)\to 0 \\ \end{align*}