Internal problem ID [12729]
Book: DIFFERENTIAL EQUATIONS by Paul Blanchard, Robert L. Devaney, Glen R. Hall. 4th
edition. Brooks/Cole. Boston, USA. 2012
Section: Chapter 1. First-Order Differential Equations. Review Exercises for chapter 1. page
136
Problem number: 34.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }+5 y=3 \,{\mathrm e}^{-5 t}} \] With initial conditions \begin {align*} [y \left (0\right ) = -2] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 14
dsolve([diff(y(t),t)+5*y(t)= 3*exp(-5*t),y(0) = -2],y(t), singsol=all)
\[ y \left (t \right ) = {\mathrm e}^{-5 t} \left (3 t -2\right ) \]
✓ Solution by Mathematica
Time used: 0.085 (sec). Leaf size: 16
DSolve[{y'[t]+5*y[t]== 3*Exp[-5*t],{y[0]==-2}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to e^{-5 t} (3 t-2) \]