Internal problem ID [15244]
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: 474.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }+3 y^{\prime }=3} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(diff(y(x),x$2)+3*diff(y(x),x)=3,y(x), singsol=all)
\[ y \left (x \right ) = -\frac {c_{1} {\mathrm e}^{-3 x}}{3}+x +c_{2} \]
✓ Solution by Mathematica
Time used: 0.022 (sec). Leaf size: 20
DSolve[y''[x]+3*y'[x]==3,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x-\frac {1}{3} c_1 e^{-3 x}+c_2 \]