Internal problem ID [13582]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 17. Second order Homogeneous equations with constant coefficients. Additional
exercises page 334
Problem number: 17.1 (d).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }+3 y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(x),x$2)+3*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = c_{1} +{\mathrm e}^{-3 x} c_{2} \]
✓ Solution by Mathematica
Time used: 0.014 (sec). Leaf size: 19
DSolve[y''[x]+3*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_2-\frac {1}{3} c_1 e^{-3 x} \]