4.23 problem 88

Internal problem ID [14995]

Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV, G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 4. Equations with variables separable and equations reducible to them. Exercises page 38
Problem number: 88.
ODE order: 1.
ODE degree: 0.

CAS Maple gives this as type [_quadrature]

\[ \boxed {\ln \left (y^{\prime }\right )=x} \]

Solution by Maple

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

dsolve(ln(diff(y(x),x))=x,y(x), singsol=all)
 

\[ y = {\mathrm e}^{x}+c_{1} \]

Solution by Mathematica

Time used: 0.034 (sec). Leaf size: 11

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

\[ y(x)\to e^x+c_1 \]