Internal problem ID [158]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 5.1, second order linear equations. Page 299
Problem number: 2.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-9 y=0} \] With initial conditions \begin {align*} [y \left (0\right ) = -1, y^{\prime }\left (0\right ) = 15] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 17
dsolve([diff(y(x),x$2)-9*y(x)=0,y(0) = -1, D(y)(0) = 15],y(x), singsol=all)
\[ y \left (x \right ) = 2 \,{\mathrm e}^{3 x}-3 \,{\mathrm e}^{-3 x} \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 20
DSolve[{y''[x]-9*y[x]==0,{y[0]==-1,y'[0]==15}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{-3 x} \left (2 e^{6 x}-3\right ) \]