Internal problem ID [3629]
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]
\[ \boxed {x \left (-x^{3}+1\right ) y^{\prime }+\left (-4 x^{3}+1\right ) y=2 x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 21
dsolve(x*(-x^3+1)*diff(y(x),x) = 2*x-(-4*x^3+1)*y(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {-x^{2}+c_{1}}{x^{4}-x} \]
✓ 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]
\[ y(x)\to \frac {x^2+c_1}{x-x^4} \]