75.2.16 problem 36

Internal problem ID [16693]
Book : A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV, G.I. MARKARENKO. MIR, MOSCOW. 1983
Section : Section 2. The method of isoclines. Exercises page 27
Problem number : 36
Date solved : Tuesday, January 28, 2025 at 09:18:14 AM
CAS classification : [_separable]

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

✓ Solution by Maple

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

dsolve(diff(y(x),x)=-y(x)/x,y(x), singsol=all)
 

\[ y = \frac {c_{1}}{x} \]

✓ Solution by Mathematica

Time used: 0.019 (sec). Leaf size: 16

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

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