Internal problem ID [12389]
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: 6 (a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-y^{3}=0} \] With initial conditions \begin {align*} [y \left (-1\right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 11
dsolve([diff(y(x),x)=y(x)^3,y(-1) = 1],y(x), singsol=all)
\[ y \left (x \right ) = \frac {1}{\sqrt {-2 x -1}} \]
✓ Solution by Mathematica
Time used: 0.005 (sec). Leaf size: 14
DSolve[{y'[x]==y[x]^3,{y[-1]==1}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{\sqrt {-2 x-1}} \]