Internal problem ID [14255]
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: 26.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-y=4 \,{\mathrm e}^{t}} \] With initial conditions \begin {align*} [y \left (0\right ) = 4] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 11
dsolve([diff(y(t),t)-y(t)=4*exp(t),y(0) = 4],y(t), singsol=all)
\[ y \left (t \right ) = 4 \left (t +1\right ) {\mathrm e}^{t} \]
✓ Solution by Mathematica
Time used: 0.038 (sec). Leaf size: 13
DSolve[{y'[t]-y[t]==4*Exp[t],{y[0]==4}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to 4 e^t (t+1) \]