Internal problem ID [13841]
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: 3.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-\frac {\sqrt {y}}{x^{2}}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(diff(y(x),x)=sqrt(y(x))/x^2,y(x), singsol=all)
\[ \sqrt {y \left (x \right )}+\frac {1}{2 x}-c_{1} = 0 \]
✓ Solution by Mathematica
Time used: 0.125 (sec). Leaf size: 25
DSolve[y'[x]==Sqrt[y[x]]/x^2,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {(-1+c_1 x){}^2}{4 x^2} y(x)\to 0 \end{align*}