Internal problem ID [610]
Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and
DiPrima
Section: Chapter 3, Second order linear equations, 3.1 Homogeneous Equations with Constant
Coefficients, page 144
Problem number: 12.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
Solve \begin {gather*} \boxed {y^{\prime \prime }+3 y^{\prime }=0} \end {gather*} With initial conditions \begin {align*} [y \relax (0) = -2, y^{\prime }\relax (0) = 3] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 12
dsolve([diff(y(x),x$2) +3*diff(y(x),x) = 0,y(0) = -2, D(y)(0) = 3],y(x), singsol=all)
\[ y \relax (x ) = -1-{\mathrm e}^{-3 x} \]
✓ Solution by Mathematica
Time used: 0.015 (sec). Leaf size: 14
DSolve[{y''[x]+3*y'[x]==0,{y[0]==-2,y'[0]==3}},y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -e^{-3 x}-1 \\ \end{align*}