Internal problem ID [12546]
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: 5.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-y^{2} t^{2}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(diff(y(t),t)=(t*y(t))^2,y(t), singsol=all)
\[ y \left (t \right ) = \frac {3}{-t^{3}+3 c_{1}} \]
✓ Solution by Mathematica
Time used: 0.214 (sec). Leaf size: 22
DSolve[y'[t]==(t*y[t])^2,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to -\frac {3}{t^3+3 c_1} y(t)\to 0 \end{align*}