Internal problem ID [189]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 5.2, second order linear equations. Page 311
Problem number: 22.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-4 y=12} \] With initial conditions \begin {align*} [y \left (0\right ) = 0, y^{\prime }\left (0\right ) = 10] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve([diff(y(x),x$2)-4*y(x)=12,y(0) = 0, D(y)(0) = 10],y(x), singsol=all)
\[ y \left (x \right ) = 4 \,{\mathrm e}^{2 x}-{\mathrm e}^{-2 x}-3 \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 21
DSolve[{y''[x]-4*y[x]==12,{y[0]==0,y'[0]==10}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -e^{-2 x}+4 e^{2 x}-3 \]