Internal problem ID [12230]
Book: APPLIED DIFFERENTIAL EQUATIONS The Primary Course by Vladimir A.
Dobrushkin. CRC Press 2015
Section: Chapter 4, Second and Higher Order Linear Differential Equations. Problems page
221
Problem number: Problem 1(i).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y y^{\prime }=1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 23
dsolve(y(x)*diff(y(x),x)=1,y(x), singsol=all)
\begin{align*} y \left (x \right ) &= \sqrt {c_{1} +2 x} \\ y \left (x \right ) &= -\sqrt {c_{1} +2 x} \\ \end{align*}
✓ Solution by Mathematica
Time used: 0.018 (sec). Leaf size: 38
DSolve[y[x]*y'[x]==1,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\sqrt {2} \sqrt {x+c_1} \\ y(x)\to \sqrt {2} \sqrt {x+c_1} \\ \end{align*}