Internal problem ID [1927]
Book: Elementary Differential Equations, Martin, Reissner, 2nd ed, 1961
Section: Exercis 2, page 5
Problem number: 2(e).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-{\mathrm e}^{x^{2}} x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 12
dsolve(diff(y(x),x)=x*exp(x^2),y(x), singsol=all)
\[ y \relax (x ) = \frac {{\mathrm e}^{x^{2}}}{2}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.005 (sec). Leaf size: 17
DSolve[y'[x]==x*Exp[x^2],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {e^{x^2}}{2}+c_1 \\ \end{align*}