8.10 problem 5 (c)

Internal problem ID [12708]

Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.4.4, page 115
Problem number: 5 (c).
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {y^{\prime }-y^{2}=0} \] With initial conditions \begin {align*} \left [y \left (1\right ) = {\frac {1}{2}}\right ] \end {align*}

✓ Solution by Maple

Time used: 0.0 (sec). Leaf size: 11

dsolve([diff(y(x),x)=y(x)^2,y(1) = 1/2],y(x), singsol=all)
 

\[ y \left (x \right ) = -\frac {1}{-3+x} \]

✓ Solution by Mathematica

Time used: 0.004 (sec). Leaf size: 12

DSolve[{y'[x]==y[x]^2,{y[1]==1/2}},y[x],x,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

\[ y(x)\to \frac {1}{3-x} \]