7.20 problem 36

Internal problem ID [176]

Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 5.1, second order linear equations. Page 299
Problem number: 36.
ODE order: 2.
ODE degree: 1.

CAS Maple gives this as type [[_2nd_order, _missing_x]]

\[ \boxed {2 y^{\prime \prime }+3 y^{\prime }=0} \]

Solution by Maple

Time used: 0.0 (sec). Leaf size: 12

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

\[ y \left (x \right ) = c_{1} +c_{2} {\mathrm e}^{-\frac {3 x}{2}} \]

Solution by Mathematica

Time used: 0.014 (sec). Leaf size: 21

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

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