72.3.10 problem 10

Internal problem ID [14674]
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 1.4 page 61
Problem number : 10
Date solved : Tuesday, January 28, 2025 at 06:47:22 AM
CAS classification : [_Abel]

\begin{align*} y^{\prime }&=2 y^{3}+t^{2} \end{align*}

With initial conditions

\begin{align*} y \left (0\right )&=-{\frac {1}{2}} \end{align*}

✗ Solution by Maple

dsolve([diff(y(t),t)=2*y(t)^3+t^2,y(0) = -1/2],y(t), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[{D[y[t],t]==2*y[t]^3+t^2,{y[0]==-1/2}},y[t],t,IncludeSingularSolutions -> True]
 

Not solved