8.8.5 problem 26(a.1)

Internal problem ID [842]
Book : Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section : Section 5.2, second order linear equations. Page 311
Problem number : 26(a.1)
Date solved : Wednesday, February 05, 2025 at 04:34:09 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }+2 y&=4 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 22

dsolve(diff(y(x),x$2)+2*y(x)=4,y(x), singsol=all)
 

\[ y = \sin \left (\sqrt {2}\, x \right ) c_2 +\cos \left (\sqrt {2}\, x \right ) c_1 +2 \]

✓ Solution by Mathematica

Time used: 0.016 (sec). Leaf size: 29

DSolve[D[y[x],{x,2}]+2*y[x]==4,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to c_1 \cos \left (\sqrt {2} x\right )+c_2 \sin \left (\sqrt {2} x\right )+2 \]