32.7.30 problem Exercise 20, problem 31, page 220

Internal problem ID [5945]
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
Date solved : Monday, January 27, 2025 at 01:27:54 PM
CAS classification : [[_2nd_order, _quadrature]]

\begin{align*} y^{\prime \prime }&=0 \end{align*}

With initial conditions

\begin{align*} y \left (1\right )&=2\\ y^{\prime }\left (1\right )&=-1 \end{align*}

✓ Solution by Maple

Time used: 0.007 (sec). Leaf size: 9

dsolve([diff(y(x),x$2)=0,y(1) = 2, D(y)(1) = -1],y(x), singsol=all)
 

\[ y \left (x \right ) = -x +3 \]

✓ Solution by Mathematica

Time used: 0.005 (sec). Leaf size: 10

DSolve[{D[y[x],{x,2}]==0,{y[1]==2,Derivative[1][y][1]==-1}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to 3-x \]