Internal problem ID [12680]
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: 11.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-2 y=7 \,{\mathrm e}^{2 t}} \] With initial conditions \begin {align*} [y \left (0\right ) = 3] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 14
dsolve([diff(y(t),t)-2*y(t)=7*exp(2*t),y(0) = 3],y(t), singsol=all)
\[ y \left (t \right ) = {\mathrm e}^{2 t} \left (7 t +3\right ) \]
✓ Solution by Mathematica
Time used: 0.073 (sec). Leaf size: 16
DSolve[{y'[t]-2*y[t]==7*Exp[2*t],{y[0]==3}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to e^{2 t} (7 t+3) \]