Internal problem ID [15262]
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: 492.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_x]]
\[ \boxed {y^{\prime \prime \prime }+y^{\prime }=2} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(diff(y(x),x$3)+diff(y(x),x)=2,y(x), singsol=all)
\[ y \left (x \right ) = \sin \left (x \right ) c_{1} -\cos \left (x \right ) c_{2} +2 x +c_{3} \]
✓ Solution by Mathematica
Time used: 0.051 (sec). Leaf size: 22
DSolve[y'''[x]+y'[x]==2,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 2 x-c_2 \cos (x)+c_1 \sin (x)+c_3 \]