Internal problem ID [1926]
Book: Elementary Differential Equations, Martin, Reissner, 2nd ed, 1961
Section: Exercis 2, page 5
Problem number: 2(d).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-{\mathrm e}^{x^{2}}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(diff(y(x),x)=exp(x^2),y(x), singsol=all)
\[ y \left (x \right ) = \frac {\sqrt {\pi }\, \operatorname {erfi}\left (x \right )}{2}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.015 (sec). Leaf size: 16
DSolve[y'[x]==Exp[x^2],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to e^{x^2} \operatorname {DawsonF}(x)+c_1 \\ \end{align*}