Internal problem ID [2557]
Book: Advanced Mathematica, Book2, Perkin and Perkin, 1992
Section: Chapter 11.3, page 316
Problem number: 15.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {-2 y x +y^{\prime }-2 x=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 12
dsolve([diff(y(x),x)-2*x*y(x)=2*x,y(0) = 1],y(x), singsol=all)
\[ y \left (x \right ) = -1+2 \,{\mathrm e}^{x^{2}} \]
✓ Solution by Mathematica
Time used: 0.034 (sec). Leaf size: 14
DSolve[{y'[x]-2*x*y[x]==2*x,y[0]==1},y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 2 e^{x^2}-1 \\ \end{align*}