Internal problem ID [13485]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 13. Higher order equations: Extending first order concepts. Additional exercises
page 259
Problem number: 13.2 (g).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-2 y^{\prime }=-6} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(diff(y(x),x$2)=2*diff(y(x),x)-6,y(x), singsol=all)
\[ y \left (x \right ) = \frac {{\mathrm e}^{2 x} c_{1}}{2}+3 x +c_{2} \]
✓ Solution by Mathematica
Time used: 0.019 (sec). Leaf size: 22
DSolve[y''[x]==2*y'[x]-6,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 3 x+\frac {1}{2} c_1 e^{2 x}+c_2 \]