Internal problem ID [14277]
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: 55.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }+10 y=2 \,{\mathrm e}^{t}} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 20
dsolve(diff(y(t),t)+10*y(t)=2*exp(t),y(t), singsol=all)
\[ y \left (t \right ) = \frac {\left (2 \,{\mathrm e}^{11 t}+11 c_{1} \right ) {\mathrm e}^{-10 t}}{11} \]
✓ Solution by Mathematica
Time used: 0.049 (sec). Leaf size: 21
DSolve[y'[t]+10*y[t]==2*Exp[t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {2 e^t}{11}+c_1 e^{-10 t} \]