Internal problem ID [5370]
Book: Schaums Outline. Theory and problems of Differential Equations, 1st edition. Frank Ayres.
McGraw Hill 1952
Section: Chapter 14. Linear equations with constant coefficients. Supplemetary problems. Page
92
Problem number: 13.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_x]]
\[ \boxed {y^{\prime \prime \prime }-4 y^{\prime \prime }=5} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 21
dsolve(diff(y(x),x$3)-4*diff(y(x),x$2)=5,y(x), singsol=all)
\[ y = \frac {c_{1} {\mathrm e}^{4 x}}{16}-\frac {5 x^{2}}{8}+c_{2} x +c_{3} \]
✓ Solution by Mathematica
Time used: 0.039 (sec). Leaf size: 30
DSolve[y'''[x]-4*y''[x]==5,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {5 x^2}{8}+c_3 x+\frac {1}{16} c_1 e^{4 x}+c_2 \]