Internal problem ID [14061]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 1. Introduction to Differential Equations. Exercises 1.1, page 10
Problem number: 24.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-12 y^{\prime }+40 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 22
dsolve(diff(y(x),x$2)-12*diff(y(x),x)+40*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = {\mathrm e}^{6 x} \left (c_{1} \sin \left (2 x \right )+c_{2} \cos \left (2 x \right )\right ) \]
✓ Solution by Mathematica
Time used: 0.017 (sec). Leaf size: 26
DSolve[y''[x]-12*y'[x]+40*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{6 x} (c_2 \cos (2 x)+c_1 \sin (2 x)) \]