Internal problem ID [3121]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 13
Problem number: 373.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {x \left (-x^{3}+1\right ) y^{\prime }-2 x +\left (-4 x^{3}+1\right ) y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 22
dsolve(x*(-x^3+1)*diff(y(x),x) = 2*x-(-4*x^3+1)*y(x),y(x), singsol=all)
\[ y \relax (x ) = \frac {-x^{2}+c_{1}}{x \left (x^{3}-1\right )} \]
✓ Solution by Mathematica
Time used: 0.038 (sec). Leaf size: 21
DSolve[x(1-x^3)y'[x]==2 x-(1-4 x^3)y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x^2+c_1}{x-x^4} \\ \end{align*}