Internal problem ID [2436]
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]
\[ \boxed {y^{\prime }=x \,{\mathrm e}^{x^{2}}} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 12
dsolve(diff(y(x),x)=x*exp(x^2),y(x), singsol=all)
\[ y \left (x \right ) = \frac {{\mathrm e}^{x^{2}}}{2}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 17
DSolve[y'[x]==x*Exp[x^2],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {e^{x^2}}{2}+c_1 \]