67.2.11 problem Problem 1(k)

Internal problem ID [13968]
Book : APPLIED DIFFERENTIAL EQUATIONS The Primary Course by Vladimir A. Dobrushkin. CRC Press 2015
Section : Chapter 4, Second and Higher Order Linear Differential Equations. Problems page 221
Problem number : Problem 1(k)
Date solved : Tuesday, January 28, 2025 at 06:10:35 AM
CAS classification : [_separable]

\begin{align*} 5 y^{\prime }-y x&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 12

dsolve(5*diff(y(x),x)-x*y(x)=0,y(x), singsol=all)
 

\[ y = c_{1} {\mathrm e}^{\frac {x^{2}}{10}} \]

✓ Solution by Mathematica

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

DSolve[5*D[y[x],x]-x*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to c_1 e^{\frac {x^2}{10}} \\ y(x)\to 0 \\ \end{align*}