Internal problem ID [13282]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 2. Integration and differential equations. Additional exercises. page
32
Problem number: 2.7 d.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }={\mathrm e}^{-9 x^{2}}} \] With initial conditions \begin {align*} [y \left (0\right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 15
dsolve([diff(y(x),x)=exp(-9*x^2),y(0) = 1],y(x), singsol=all)
\[ y \left (x \right ) = \frac {\sqrt {\pi }\, \operatorname {erf}\left (3 x \right )}{6}+1 \]
✓ Solution by Mathematica
Time used: 0.018 (sec). Leaf size: 20
DSolve[{y'[x]==Exp[-9*x^2],{y[0]==1}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{6} \sqrt {\pi } \text {erf}(3 x)+1 \]