Internal problem ID [14997]
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: 90.
ODE order: 1.
ODE degree: 0.
CAS Maple gives this as type [_quadrature]
\[ \boxed {{\mathrm e}^{y^{\prime }}=x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(exp(diff(y(x),x))=x,y(x), singsol=all)
\[ y = x \ln \left (x \right )-x +c_{1} \]
✓ Solution by Mathematica
Time used: 0.006 (sec). Leaf size: 15
DSolve[Exp[y'[x]]==x,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -x+x \log (x)+c_1 \]