Internal problem ID [13359]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 21. Nonhomogeneous equations in general. Additional exercises page
391
Problem number: 21.7.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-9 y=36} \] With initial conditions \begin {align*} [y \left (0\right ) = 8, y^{\prime }\left (0\right ) = 6] \end {align*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 18
dsolve([diff(y(x),x$2)-9*y(x)=36,y(0) = 8, D(y)(0) = 6],y(x), singsol=all)
\[ y = 5 \,{\mathrm e}^{-3 x}+7 \,{\mathrm e}^{3 x}-4 \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 21
DSolve[{y''[x]-9*y[x]==36,{y[0]==8,y'[0]==6}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 5 e^{-3 x}+7 e^{3 x}-4 \]