Internal problem ID [13038]
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: 23.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-3 y={\mathrm e}^{7 t}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(diff(y(t),t)= 3*y(t)+exp(7*t),y(t), singsol=all)
\[ y \left (t \right ) = \frac {\left ({\mathrm e}^{4 t}+4 c_{1} \right ) {\mathrm e}^{3 t}}{4} \]
✓ Solution by Mathematica
Time used: 0.068 (sec). Leaf size: 23
DSolve[y'[t]==3*y[t]+Exp[7*t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {e^{7 t}}{4}+c_1 e^{3 t} \]