Internal problem ID [14837]
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: 16.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-10 y^{\prime }+34 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 22
dsolve(diff(y(x),x$2)-10*diff(y(x),x)+34*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = {\mathrm e}^{5 x} \left (c_{1} \sin \left (3 x \right )+c_{2} \cos \left (3 x \right )\right ) \]
✓ Solution by Mathematica
Time used: 0.018 (sec). Leaf size: 26
DSolve[y''[x]-10*y'[x]+34*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{5 x} (c_2 \cos (3 x)+c_1 \sin (3 x)) \]