Internal problem ID [13575]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 15. General solutions to Homogeneous linear differential equations. Additional
exercises page 294
Problem number: 15.6 (c).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-10 y^{\prime }+9 y=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 8, y^{\prime }\left (0\right ) = -24] \end {align*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 15
dsolve([diff(y(x),x$2)-10*diff(y(x),x)+9*y(x)=0,y(0) = 8, D(y)(0) = -24],y(x), singsol=all)
\[ y \left (x \right ) = 12 \,{\mathrm e}^{x}-4 \,{\mathrm e}^{9 x} \]
✓ Solution by Mathematica
Time used: 0.012 (sec). Leaf size: 17
DSolve[{y''[x]-10*y'[x]+9*y[x]==0,{y[0]==8,y'[0]==-24}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -4 e^x \left (e^{8 x}-3\right ) \]