48.3.8 problem Example 3.37

Internal problem ID [7532]
Book : THEORY OF DIFFERENTIAL EQUATIONS IN ENGINEERING AND MECHANICS. K.T. CHAU, CRC Press. Boca Raton, FL. 2018
Section : Chapter 3. Ordinary Differential Equations. Section 3.5 HIGHER ORDER ODE. Page 181
Problem number : Example 3.37
Date solved : Monday, January 27, 2025 at 03:04:43 PM
CAS classification : [[_high_order, _missing_y]]

\begin{align*} y^{\left (5\right )}-\frac {y^{\prime \prime \prime \prime }}{t}&=0 \end{align*}

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 24

dsolve(diff(y(t),t$5)-1/t*diff(y(t),t$4)=0,y(t), singsol=all)
 

\[ y = c_3 \,t^{5}+c_5 \,t^{3}+c_{2} t^{2}+c_4 t +c_{1} \]

✓ Solution by Mathematica

Time used: 0.028 (sec). Leaf size: 33

DSolve[D[ y[t],{t,5}]-1/t*D[y[t],{t,4}]==0,y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to \frac {c_1 t^5}{120}+c_5 t^3+c_4 t^2+c_3 t+c_2 \]