2.18 problem 38

Internal problem ID [14965]

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.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {y^{\prime }=\frac {1}{x}} \]

Solution by Maple

Time used: 0.0 (sec). Leaf size: 8

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

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

Solution by Mathematica

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

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

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