1.4 problem 2(d)

Internal problem ID [2435]

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]

\[ \boxed {y^{\prime }={\mathrm e}^{x^{2}}} \]

✓ 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: 0.014 (sec). Leaf size: 19

DSolve[y'[x]==Exp[x^2],y[x],x,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

\[ y(x)\to \frac {1}{2} \sqrt {\pi } \text {erfi}(x)+c_1 \]