29.6.6 problem 152

Internal problem ID [4752]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 6
Problem number : 152
Date solved : Monday, January 27, 2025 at 09:36:25 AM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 9

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

\[ y \left (x \right ) = c_{1} x^{a} \]

✓ Solution by Mathematica

Time used: 0.027 (sec). Leaf size: 16

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

\begin{align*} y(x)\to c_1 x^a \\ y(x)\to 0 \\ \end{align*}