Internal problem ID [14833]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Chapter 4 review exercises, page 219
Problem number: 12.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }+7 y^{\prime }+10 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(diff(y(x),x$2)+7*diff(y(x),x)+10*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = {\mathrm e}^{-5 x} c_{1} +{\mathrm e}^{-2 x} c_{2} \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 22
DSolve[y''[x]+7*y'[x]+10*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{-5 x} \left (c_2 e^{3 x}+c_1\right ) \]