8.9.4 problem 4

Internal problem ID [848]
Book : Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section : Section 5.3, second order linear equations. Page 323
Problem number : 4
Date solved : Monday, January 27, 2025 at 03:09:57 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} 2 y^{\prime \prime }-7 y^{\prime }+3 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 17

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

\[ y = c_1 \,{\mathrm e}^{3 x}+c_2 \,{\mathrm e}^{\frac {x}{2}} \]

✓ Solution by Mathematica

Time used: 0.013 (sec). Leaf size: 24

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

\[ y(x)\to c_1 e^{x/2}+c_2 e^{3 x} \]