Internal problem ID [190]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 5.2, second order linear equations. Page 311
Problem number: 23.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-2 y^{\prime }-3 y=6} \] With initial conditions \begin {align*} [y \left (0\right ) = 3, y^{\prime }\left (0\right ) = 11] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve([diff(y(x),x$2)-2*diff(y(x),x)-3*y(x)=6,y(0) = 3, D(y)(0) = 11],y(x), singsol=all)
\[ y \left (x \right ) = {\mathrm e}^{-x}+4 \,{\mathrm e}^{3 x}-2 \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 19
DSolve[{y''[x]-2*y'[x]-3*y[x]==6,{y[0]==3,y'[0]==11}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{-x}+4 e^{3 x}-2 \]