1.12 problem 12

Internal problem ID [2554]

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]

Solve \begin {gather*} \boxed {y^{\prime }+2 y x=0} \end {gather*} With initial conditions \begin {align*} [y \relax (0) = 5] \end {align*}

Solution by Maple

Time used: 0.032 (sec). Leaf size: 12

dsolve([diff(y(x),x)+2*x*y(x)=0,y(0) = 5],y(x), singsol=all)
 

\[ y \relax (x ) = 5 \,{\mathrm e}^{-x^{2}} \]

Solution by Mathematica

Time used: 0.025 (sec). Leaf size: 14

DSolve[{y'[x]+2*x*y[x]==0,y[0]==5},y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to 5 e^{-x^2} \\ \end{align*}