78.9.7 problem 5 (a)

Internal problem ID [18255]
Book : DIFFERENTIAL EQUATIONS WITH APPLICATIONS AND HISTORICAL NOTES by George F. Simmons. 3rd edition. 2017. CRC press, Boca Raton FL.
Section : Chapter 3. Second order linear equations. Section 14. Introduction. Problems at page 112
Problem number : 5 (a)
Date solved : Tuesday, January 28, 2025 at 11:44:27 AM
CAS classification : [[_2nd_order, _quadrature]]

\begin{align*} y^{\prime \prime }&={\mathrm e}^{x} \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 11

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

\[ y = {\mathrm e}^{x}+c_{1} x +c_{2} \]

✓ Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 15

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

\[ y(x)\to e^x+c_2 x+c_1 \]