Internal problem ID [4093]
Book: Ordinary Differential Equations, By Tenenbaum and Pollard. Dover, NY 1963
Section: Chapter 4. Higher order linear differential equations. Lesson 20. Constant coefficients
Problem number: Exercise 20, problem 31, page 220.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _quadrature]]
Solve \begin {gather*} \boxed {y^{\prime \prime }=0} \end {gather*} With initial conditions \begin {align*} [y \relax (1) = 2, y^{\prime }\relax (1) = -1] \end {align*}
✓ Solution by Maple
Time used: 0.005 (sec). Leaf size: 9
dsolve([diff(y(x),x$2)=0,y(1) = 2, D(y)(1) = -1],y(x), singsol=all)
\[ y \relax (x ) = -x +3 \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 10
DSolve[{y''[x]==0,{y[1]==2,y'[1]==-1}},y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 3-x \\ \end{align*}