Internal problem ID [15284]
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: 514.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_x]]
\[ \boxed {5 y^{\prime \prime \prime }-7 y^{\prime \prime }=3} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 21
dsolve(5*diff(y(x),x$3)-7*diff(y(x),x$2)=3,y(x), singsol=all)
\[ y \left (x \right ) = -\frac {3 x^{2}}{14}+\frac {25 \,{\mathrm e}^{\frac {7 x}{5}} c_{1}}{49}+c_{2} x +c_{3} \]
✓ Solution by Mathematica
Time used: 0.039 (sec). Leaf size: 30
DSolve[y'''[x]-7*y''[x]==3,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {3 x^2}{14}+c_3 x+\frac {1}{49} c_1 e^{7 x}+c_2 \]