Internal problem ID [604]
Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and
DiPrima
Section: Chapter 3, Second order linear equations, 3.1 Homogeneous Equations with Constant
Coefficients, page 144
Problem number: 6.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {4 y^{\prime \prime }-9 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(4*diff(y(x),x$2) -9*y(x) = 0,y(x), singsol=all)
\[ y \left (x \right ) = c_{1} {\mathrm e}^{-\frac {3 x}{2}}+c_{2} {\mathrm e}^{\frac {3 x}{2}} \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 24
DSolve[4*y''[x]-9*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{-3 x/2} \left (c_1 e^{3 x}+c_2\right ) \]