Internal problem ID [12569]
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 1.2. page
33
Problem number: 28.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-t^{2} y^{3}=0} \] With initial conditions \begin {align*} [y \left (0\right ) = -1] \end {align*}
✓ Solution by Maple
Time used: 0.063 (sec). Leaf size: 15
dsolve([diff(y(t),t)=t^2*y(t)^3,y(0) = -1],y(t), singsol=all)
\[ y \left (t \right ) = -\frac {3}{\sqrt {-6 t^{3}+9}} \]
✓ Solution by Mathematica
Time used: 0.285 (sec). Leaf size: 20
DSolve[{y'[t]==t^2*y[t]^3,{y[0]==-1}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -\frac {1}{\sqrt {1-\frac {2 t^3}{3}}} \]