Internal problem ID [285]
Book: Differential equations and linear algebra, 4th ed., Edwards and Penney
Section: Section 5.3, Higher-Order Linear Differential Equations. Homogeneous Equations with
Constant Coefficients. Page 300
Problem number: problem 10.
ODE order: 4.
ODE degree: 1.
CAS Maple gives this as type [[_high_order, _missing_x]]
Solve \begin {gather*} \boxed {5 y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }=0} \end {gather*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 20
dsolve(5*diff(y(x),x$4)+3*diff(y(x),x$3)=0,y(x), singsol=all)
\[ y \relax (x ) = c_{1}+c_{2} x +c_{3} x^{2}+c_{4} {\mathrm e}^{-\frac {3 x}{5}} \]
✓ Solution by Mathematica
Time used: 0.047 (sec). Leaf size: 30
DSolve[5*y''''[x]+3*y'''[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {125}{27} c_1 e^{-3 x/5}+x (c_4 x+c_3)+c_2 \\ \end{align*}