Internal problem ID [11734]
Book: Differential Equations by Shepley L. Ross. Third edition. John Willey. New Delhi.
2004.
Section: Chapter 4, Section 4.2. The homogeneous linear equation with constant coefficients.
Exercises page 135
Problem number: 4.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {3 y^{\prime \prime }-14 y^{\prime }-5 y=0} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 17
dsolve(3*diff(y(x),x$2)-14*diff(y(x),x)-5*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = c_{1} {\mathrm e}^{5 x}+c_{2} {\mathrm e}^{-\frac {x}{3}} \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 24
DSolve[3*y''[x]-14*y'[x]-5*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_1 e^{-x/3}+c_2 e^{5 x} \]