Internal problem ID [12552]
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: 11.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-2 t y^{2}-3 y^{2}=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 16
dsolve(diff(y(t),t)=2*t*y(t)^2+3*y(t)^2,y(t), singsol=all)
\[ y \left (t \right ) = \frac {1}{-t^{2}+c_{1} -3 t} \]
✓ Solution by Mathematica
Time used: 0.218 (sec). Leaf size: 23
DSolve[y'[t]==2*t*y[t]^2+3*y[t]^2,y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to -\frac {1}{t^2+3 t+c_1} y(t)\to 0 \end{align*}