73.1.21 problem 2.3 (k)

Internal problem ID [14999]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 2. Integration and differential equations. Additional exercises. page 32
Problem number : 2.3 (k)
Date solved : Tuesday, January 28, 2025 at 07:27:17 AM
CAS classification : [[_2nd_order, _quadrature]]

\begin{align*} y^{\prime \prime }-3&=x \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 19

dsolve(diff(y(x),x$2)-3=x,y(x), singsol=all)
 

\[ y = \frac {1}{6} x^{3}+\frac {3}{2} x^{2}+c_{1} x +c_{2} \]

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 26

DSolve[D[y[x],{x,2}]-3==x,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {x^3}{6}+\frac {3 x^2}{2}+c_2 x+c_1 \]