12.17.8 problem section 9.1, problem 6(b)

Internal problem ID [2114]
Book : Elementary differential equations with boundary value problems. William F. Trench. Brooks/Cole 2001
Section : Chapter 9 Introduction to Linear Higher Order Equations. Section 9.1. Page 471
Problem number : section 9.1, problem 6(b)
Date solved : Monday, January 27, 2025 at 05:42:35 AM
CAS classification : [[_3rd_order, _missing_x]]

\begin{align*} y^{\prime \prime \prime }-3 y^{\prime \prime }+7 y^{\prime }-5 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 21

dsolve(diff(y(x),x$3)-3*diff(y(x),x$2)+7*diff(y(x),x)-5*y(x)=0,y(x), singsol=all)
 

\[ y = {\mathrm e}^{x} \left (c_1 +\sin \left (2 x \right ) c_2 +\cos \left (2 x \right ) c_3 \right ) \]

✓ Solution by Mathematica

Time used: 0.004 (sec). Leaf size: 26

DSolve[D[y[x],{x,3}]-3*D[y[x],{x,2}]+7*D[y[x],x]-5*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to e^x (c_2 \cos (2 x)+c_1 \sin (2 x)+c_3) \]