Internal problem ID [14578]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.4, page 163
Problem number: 3.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
\[ \boxed {y^{\prime \prime }-7 y^{\prime }+10 y={\mathrm e}^{3 t}} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 23
dsolve(diff(y(t),t$2)-7*diff(y(t),t)+10*y(t)=exp(3*t),y(t), singsol=all)
\[ y \left (t \right ) = c_{2} {\mathrm e}^{5 t}+c_{1} {\mathrm e}^{2 t}-\frac {{\mathrm e}^{3 t}}{2} \]
✓ Solution by Mathematica
Time used: 0.029 (sec). Leaf size: 31
DSolve[y''[t]-7*y'[t]+10*y[t]==Exp[3*t],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -\frac {e^{3 t}}{2}+c_1 e^{2 t}+c_2 e^{5 t} \]