Internal problem ID [13482]
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: 4.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-36 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(diff(y(x),x$2)-36*y(x)=0,y(x), singsol=all)
\[ y = c_{1} {\mathrm e}^{-6 x}+c_{2} {\mathrm e}^{6 x} \]
✓ Solution by Mathematica
Time used: 0.011 (sec). Leaf size: 22
DSolve[y''[x]-36*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_1 e^{6 x}+c_2 e^{-6 x} \]