Internal problem ID [3092]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 12
Problem number: 344.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime } x^{3}-3+x^{2}-x^{2} y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 14
dsolve(x^3*diff(y(x),x) = 3-x^2+x^2*y(x),y(x), singsol=all)
\[ y \relax (x ) = -\frac {1}{x^{2}}+1+c_{1} x \]
✓ Solution by Mathematica
Time used: 0.032 (sec). Leaf size: 16
DSolve[x^3 y'[x]==3 -x^2+x^2 y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {1}{x^2}+c_1 x+1 \\ \end{align*}