Internal problem ID [14265]
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: 38 (b).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }-\frac {y}{t}=\ln \left (t \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(diff(y(t),t)-1/t*y(t)=ln(t),y(t), singsol=all)
\[ y \left (t \right ) = \left (\frac {\ln \left (t \right )^{2}}{2}+c_{1} \right ) t \]
✓ Solution by Mathematica
Time used: 0.029 (sec). Leaf size: 19
DSolve[y'[t]-1/t*y[t]==Log[t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {1}{2} t \left (\log ^2(t)+2 c_1\right ) \]