Internal problem ID [14638]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.5, page 175
Problem number: 19.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_x]]
\[ \boxed {y^{\prime \prime \prime }-10 y^{\prime \prime }+25 y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(diff(y(t),t$3)-10*diff(y(t),t$2)+25*diff(y(t),t)=0,y(t), singsol=all)
\[ y \left (t \right ) = \left (c_{3} t +c_{2} \right ) {\mathrm e}^{5 t}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.071 (sec). Leaf size: 30
DSolve[y'''[t]-10*y''[t]+25*y'[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {1}{25} e^{5 t} (c_2 (5 t-1)+5 c_1)+c_3 \]