Internal problem ID [4430]
Book: Fundamentals of Differential Equations. By Nagle, Saff and Snider. 9th edition. Boston. Pearson
2018.
Section: Chapter 2, First order differential equations. Section 2.2, Separable Equations. Exercises. page
46
Problem number: 27 part(a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-{\mathrm e}^{x^{2}}=0} \end {gather*} With initial conditions \begin {align*} [y \relax (0) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.032 (sec). Leaf size: 11
dsolve([diff(y(x),x)=exp(x^2),y(0) = 0],y(x), singsol=all)
\[ y \relax (x ) = \frac {\sqrt {\pi }\, \erfi \relax (x )}{2} \]
✓ Solution by Mathematica
Time used: 0.021 (sec). Leaf size: 13
DSolve[{y'[x]==Exp[x^2],{y[0]==0}},y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to e^{x^2} F(x) \\ \end{align*}