Internal problem ID [3084]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 12
Problem number: 336.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {2 \left (x^{2}+x +1\right ) y^{\prime }-1-8 x^{2}+\left (1+2 x \right ) y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve(2*(x^2+x+1)*diff(y(x),x) = 1+8*x^2-(1+2*x)*y(x),y(x), singsol=all)
\[ y \relax (x ) = 2 x -3+\frac {c_{1}}{\sqrt {x^{2}+x +1}} \]
✓ Solution by Mathematica
Time used: 0.212 (sec). Leaf size: 23
DSolve[2(1+x+x^2)y'[x]==1+8 x^2-(1+2 x)y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {c_1}{\sqrt {x^2+x+1}}+2 x-3 \\ \end{align*}