Internal problem ID [14243]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.3, page 49
Problem number: 14.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }-\frac {3 t y}{t^{2}-4}=t} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 22
dsolve(diff(y(t),t)-3*t/(t^2-4)*y(t)=t,y(t), singsol=all)
\[ y \left (t \right ) = \left (t -2\right ) \left (t +2\right ) \left (\sqrt {t^{2}-4}\, c_{1} -1\right ) \]
✓ Solution by Mathematica
Time used: 0.04 (sec). Leaf size: 24
DSolve[y'[t]-3*t/(t^2-4)*y[t]==t,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -t^2+c_1 \left (t^2-4\right )^{3/2}+4 \]