Internal problem ID [14398]
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: 60.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y-t \left (y^{\prime }+1\right )-2 y^{\prime }=1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 21
dsolve(y(t)=t*(diff(y(t),t)+1)+(2*diff(y(t),t)+1),y(t), singsol=all)
\[ y \left (t \right ) = \left (-t -2\right ) \ln \left (t +2\right )-1+\left (t +2\right ) c_{1} \]
✓ Solution by Mathematica
Time used: 0.038 (sec). Leaf size: 22
DSolve[y[t]==t*(y'[t]+1)+(2*y'[t]+1),y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -(t+2) \log (t+2)+c_1 (t+2)-1 \]