Internal problem ID [14361]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.5, page 64
Problem number: 18.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } t +2 y=3 t} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 11
dsolve(( 2*y(t)-3*t )+( t )*diff(y(t),t)=0,y(t), singsol=all)
\[ y \left (t \right ) = t +\frac {c_{1}}{t^{2}} \]
✓ Solution by Mathematica
Time used: 0.036 (sec). Leaf size: 13
DSolve[( 2*y[t]-3*t )+( t )*y'[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to t+\frac {c_1}{t^2} \]