Internal problem ID [13047]
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: 32.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-3 y=2 \,{\mathrm e}^{3 t}} \] With initial conditions \begin {align*} [y \left (0\right ) = -1] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 14
dsolve([diff(y(t),t)= 3*y(t)+2*exp(3*t),y(0) = -1],y(t), singsol=all)
\[ y \left (t \right ) = \left (2 t -1\right ) {\mathrm e}^{3 t} \]
✓ Solution by Mathematica
Time used: 0.07 (sec). Leaf size: 16
DSolve[{y'[t]==3*y[t]+2*Exp[3*t],{y[0]==-1}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to e^{3 t} (2 t-1) \]