Internal problem ID [14284]
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: 62.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } t +y=\cos \left (t \right ) t} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(t*diff(y(t),t)+y(t)=t*cos(t),y(t), singsol=all)
\[ y \left (t \right ) = \frac {\sin \left (t \right ) t +\cos \left (t \right )+c_{1}}{t} \]
✓ Solution by Mathematica
Time used: 0.046 (sec). Leaf size: 18
DSolve[t*y'[t]+y[t]==t*Cos[t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {t \sin (t)+\cos (t)+c_1}{t} \]