Internal problem ID [15282]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Chapter 2 (Higher order ODE’s). Section 15.3 Nonhomogeneous linear equations with
constant coefficients. Trial and error method. Exercises page 132
Problem number: 512.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }+9 y=9} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(diff(y(x),x$2)+9*y(x)=9,y(x), singsol=all)
\[ y \left (x \right ) = \sin \left (3 x \right ) c_{2} +\cos \left (3 x \right ) c_{1} +1 \]
✓ Solution by Mathematica
Time used: 0.016 (sec). Leaf size: 21
DSolve[y''[x]+9*y[x]==9,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_1 \cos (3 x)+c_2 \sin (3 x)+1 \]