Internal problem ID [3063]
Book: Advanced Mathematica, Book2, Perkin and Perkin, 1992
Section: Chapter 11.3, page 316
Problem number: 12.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }+2 y x=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 5] \end {align*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 12
dsolve([diff(y(x),x)+2*x*y(x)=0,y(0) = 5],y(x), singsol=all)
\[ y \left (x \right ) = 5 \,{\mathrm e}^{-x^{2}} \]
✓ Solution by Mathematica
Time used: 0.023 (sec). Leaf size: 14
DSolve[{y'[x]+2*x*y[x]==0,y[0]==5},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 5 e^{-x^2} \]