Internal problem ID [2550]
Book: Differential equations and linear algebra, Stephen W. Goode, second edition,
2000
Section: 1.4, page 36
Problem number: 7.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y-x y^{\prime }+2 y^{\prime } x^{2}=3} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(y(x)-x*diff(y(x),x)=3-2*x^2*diff(y(x),x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {c_{1} x -3}{2 x -1} \]
✓ Solution by Mathematica
Time used: 0.035 (sec). Leaf size: 24
DSolve[y[x]-x*y'[x]==3-2*x^2*y'[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {3+c_1 x}{1-2 x} \\ y(x)\to 3 \\ \end{align*}