Internal problem ID [5511]
Book: Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz.
McGraw-Hill NY. 2007. 1st Edition.
Section: Chapter 1. What is a differential equation. Problems for Review and Discovery. Page
53
Problem number: 2(h).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {\frac {1}{y}-\frac {x y^{\prime }}{y^{2}}=0} \end {gather*} With initial conditions \begin {align*} [y \relax (0) = 2] \end {align*}
✗ Solution by Maple
dsolve([1/y(x)-x/y(x)^2*diff(y(x),x)=0,y(0) = 2],y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{1/y[x]-x/y[x]^2*y'[x]==0,{y[0]==2}},y[x],x,IncludeSingularSolutions -> True]
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