Internal problem ID [2325]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 37, page 171
Problem number: 12.
ODE order: 1.
ODE degree: 0.
CAS Maple gives this as type [_separable]
\[ \boxed {y-3 \ln \left (y^{\prime }\right )=x} \]
✓ Solution by Maple
Time used: 0.031 (sec). Leaf size: 29
dsolve(y(x)=x+3*ln(diff(y(x),x)),y(x), singsol=all)
\begin{align*} y \left (x \right ) &= x \\ y \left (x \right ) &= x +3 \ln \left (\frac {{\mathrm e}^{-\frac {x}{3}} c_{1}}{-1+c_{1} {\mathrm e}^{-\frac {x}{3}}}\right ) \\ \end{align*}
✓ Solution by Mathematica
Time used: 0.033 (sec). Leaf size: 22
DSolve[y[x]==x+3*Log[y'[x]],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -3 \log \left (e^{-x/3}-\frac {c_1}{3}\right ) \]