Internal problem ID [3000]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 9
Problem number: 252.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime } x^{2}+\left (1-2 x \right ) y-x^{2}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 17
dsolve(x^2*diff(y(x),x)+(1-2*x)*y(x) = x^2,y(x), singsol=all)
\[ y \relax (x ) = x^{2}+{\mathrm e}^{\frac {1}{x}} c_{1} x^{2} \]
✓ Solution by Mathematica
Time used: 0.039 (sec). Leaf size: 19
DSolve[x^2 y'[x]+(1-2 x)y[x]==x^2,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x^2 \left (1+c_1 e^{\frac {1}{x}}\right ) \\ \end{align*}