75.2.18 problem 38

Internal problem ID [16695]
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 : 38
Date solved : Tuesday, January 28, 2025 at 09:18:17 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=\frac {1}{x} \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 8

dsolve(diff(y(x),x)=1/x,y(x), singsol=all)
 

\[ y = \ln \left (x \right )+c_{1} \]

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 10

DSolve[D[y[x],x]==1/x,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \log (x)+c_1 \]