16.1.7 problem 3(a)

Internal problem ID [3409]
Book : Elementary Differential Equations, Martin, Reissner, 2nd ed, 1961
Section : Exercis 2, page 5
Problem number : 3(a)
Date solved : Monday, January 27, 2025 at 07:35:54 AM
CAS classification : [_separable]

\begin{align*} y^{\prime }&=y x \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 12

dsolve(diff(y(x),x)=y(x)*x,y(x), singsol=all)
 

\[ y \left (x \right ) = {\mathrm e}^{\frac {x^{2}}{2}} c_{1} \]

✓ Solution by Mathematica

Time used: 0.024 (sec). Leaf size: 22

DSolve[D[y[x],x]==y[x]*x,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to c_1 e^{\frac {x^2}{2}} \\ y(x)\to 0 \\ \end{align*}