7.8.23 problem 36

Internal problem ID [237]
Book : Elementary Differential Equations. By C. Henry Edwards, David E. Penney and David Calvis. 6th edition. 2008
Section : Chapter 2. Linear Equations of Higher Order. Section 2.1 (Introduction. Second order linear equations). Problems at page 111
Problem number : 36
Date solved : Monday, January 27, 2025 at 02:42:50 AM
CAS classification : [[_2nd_order, _missing_x]]

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

✓ Solution by Maple

Time used: 0.002 (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: 0.017 (sec). Leaf size: 21

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

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