Internal problem ID [14486]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.2, page 147
Problem number: 13.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {7 y^{\prime \prime }+4 y^{\prime }-3 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(7*diff(y(t),t$2)+4*diff(y(t),t)-3*y(t)=0,y(t), singsol=all)
\[ y \left (t \right ) = \left (c_{1} {\mathrm e}^{\frac {10 t}{7}}+c_{2} \right ) {\mathrm e}^{-t} \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 24
DSolve[7*y''[t]+4*y'[t]-3*y[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to c_1 e^{3 t/7}+c_2 e^{-t} \]