Internal problem ID [12437]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 4. N-th Order Linear Differential Equations. Exercises 4.1, page 186
Problem number: 16.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-4 y=31} \] With initial conditions \begin {align*} [y \left (0\right ) = -9, y^{\prime }\left (0\right ) = 6] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve([diff(y(x),x$2)-4*y(x)=31,y(0) = -9, D(y)(0) = 6],y(x), singsol=all)
\[ y \left (x \right ) = -\frac {31}{4}+\frac {7 \,{\mathrm e}^{2 x}}{8}-\frac {17 \,{\mathrm e}^{-2 x}}{8} \]
✓ Solution by Mathematica
Time used: 0.023 (sec). Leaf size: 25
DSolve[{y''[x]-4*y[x]==31,{y[0]==-9,y'[0]==6}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{8} \left (-17 e^{-2 x}+7 e^{2 x}-62\right ) \]