Internal problem ID [13819]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 25. Review exercises for part III. page 447
Problem number: 21.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {16 y^{\prime \prime }-8 y^{\prime }+y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(16*diff(y(x),x$2)-8*diff(y(x),x)+y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = {\mathrm e}^{\frac {x}{4}} \left (c_{2} x +c_{1} \right ) \]
✓ Solution by Mathematica
Time used: 0.014 (sec). Leaf size: 20
DSolve[16*y''[x]-8*y'[x]+y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{x/4} (c_2 x+c_1) \]