Internal problem ID [15293]
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: 523.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
\[ \boxed {7 y^{\prime \prime }-y^{\prime }=14 x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 21
dsolve(7*diff(y(x),x$2)-diff(y(x),x)=14*x,y(x), singsol=all)
\[ y \left (x \right ) = 7 \,{\mathrm e}^{\frac {x}{7}} c_{1} -7 x^{2}-98 x +c_{2} \]
✓ Solution by Mathematica
Time used: 0.067 (sec). Leaf size: 27
DSolve[7*y''[x]-y'[x]==14*x,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -7 x^2-98 x+7 c_1 e^{x/7}+c_2 \]