56.1.13 problem 13

Internal problem ID [8725]
Book : Own collection of miscellaneous problems
Section : section 1.0
Problem number : 13
Date solved : Monday, January 27, 2025 at 04:20:43 PM
CAS classification : [_separable]

\begin{align*} y^{\prime }&=\frac {2 y}{x} \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 9

dsolve(diff(y(x),x) = 2*y(x)/x,y(x), singsol=all)
 

\[ y = c_{1} x^{2} \]

✓ Solution by Mathematica

Time used: 0.024 (sec). Leaf size: 16

DSolve[D[y[x],x] == 2*y[x]/x,y[x],x,IncludeSingularSolutions -> True]
 

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