Internal problem ID [14207]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.2, page 39
Problem number: 49.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-\frac {y}{\ln \left (y\right )}=0} \] With initial conditions \begin {align*} [y \left (0\right ) = {\mathrm e}] \end {align*}
✓ Solution by Maple
Time used: 0.062 (sec). Leaf size: 12
dsolve([diff(y(x),x)=y(x)/ln(y(x)),y(0) = exp(1)],y(x), singsol=all)
\[ y \left (x \right ) = {\mathrm e}^{\sqrt {2 x +1}} \]
✓ Solution by Mathematica
Time used: 0.01 (sec). Leaf size: 16
DSolve[{y'[x]==y[x]/Log[y[x]],{y[0]==Exp[1]}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{\sqrt {2 x+1}} \]