Internal problem ID [14273]
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: 51.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-5 y=t} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(diff(y(t),t)-5*y(t)=t,y(t), singsol=all)
\[ y \left (t \right ) = -\frac {t}{5}-\frac {1}{25}+c_{1} {\mathrm e}^{5 t} \]
✓ Solution by Mathematica
Time used: 0.044 (sec). Leaf size: 22
DSolve[y'[t]-5*y[t]==t,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -\frac {t}{5}+c_1 e^{5 t}-\frac {1}{25} \]