8.7.20 problem 36

Internal problem ID [826]
Book : Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section : Section 5.1, second order linear equations. Page 299
Problem number : 36
Date solved : Monday, January 27, 2025 at 03:09:23 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: 0.009 (sec). Leaf size: 21

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

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