6.11 problem 11

Internal problem ID [12681]

Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.3.2, page 63
Problem number: 11.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {2 y y^{\prime }=1} \]

✓ Solution by Maple

Time used: 0.0 (sec). Leaf size: 19

dsolve(2*y(x)*diff(y(x),x)=1,y(x), singsol=all)
 

\begin{align*} y \left (x \right ) &= \sqrt {c_{1} +x} \\ y \left (x \right ) &= -\sqrt {c_{1} +x} \\ \end{align*}

✓ Solution by Mathematica

Time used: 0.019 (sec). Leaf size: 31

DSolve[2*y[x]*y'[x]==1,y[x],x,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

\begin{align*} y(x)\to -\sqrt {x+2 c_1} \\ y(x)\to \sqrt {x+2 c_1} \\ \end{align*}