8.9.2 problem 2

Internal problem ID [846]
Book : Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section : Section 5.3, second order linear equations. Page 323
Problem number : 2
Date solved : Monday, January 27, 2025 at 03:09:55 AM
CAS classification : [[_2nd_order, _missing_x]]

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

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 12

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

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

✓ Solution by Mathematica

Time used: 0.015 (sec). Leaf size: 21

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

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