72.1.8 problem 11

Internal problem ID [14608]
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
Date solved : Tuesday, January 28, 2025 at 06:44:21 AM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 16

dsolve(diff(y(t),t)=2*t*y(t)^2+3*y(t)^2,y(t), singsol=all)
 

\[ y = \frac {1}{-t^{2}+c_{1} -3 t} \]

✓ Solution by Mathematica

Time used: 0.138 (sec). Leaf size: 23

DSolve[D[y[t],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*}