Internal problem ID [12627]
Book: DIFFERENTIAL EQUATIONS by Paul Blanchard, Robert L. Devaney, Glen R. Hall. 4th
edition. Brooks/Cole. Boston, USA. 2012
Section: Chapter 1. First-Order Differential Equations. Exercises section 1.5 page 71
Problem number: 13.
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 (0\right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 11
dsolve([diff(y(t),t)=y(t)^3,y(0) = 1],y(t), singsol=all)
\[ y \left (t \right ) = \frac {1}{\sqrt {1-2 t}} \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 14
DSolve[{y'[t]==y[t]^3,{y[0]==1}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {1}{\sqrt {1-2 t}} \]