Internal problem ID [13004]
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. Exercises section 1.8 page 121
Problem number: 23.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-3 y=2 t -{\mathrm e}^{4 t}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 21
dsolve(diff(y(t),t)-3*y(t)=2*t-exp(4*t),y(t), singsol=all)
\[ y \left (t \right ) = -\frac {2 t}{3}-\frac {2}{9}-{\mathrm e}^{4 t}+c_{1} {\mathrm e}^{3 t} \]
✓ Solution by Mathematica
Time used: 0.146 (sec). Leaf size: 30
DSolve[y'[t]-3*y[t]==2*t-Exp[4*t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -\frac {2}{9} (3 t+1)-e^{4 t}+c_1 e^{3 t} \]