Internal problem ID [628]
Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and
DiPrima
Section: Chapter 3, Second order linear equations, 3.3 Complex Roots of the Characteristic Equation ,
page 164
Problem number: 12.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
Solve \begin {gather*} \boxed {4 y^{\prime \prime }+9 y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 17
dsolve(4*diff(y(x),x$2) +9*y(x) = 0,y(x), singsol=all)
\[ y \relax (x ) = c_{1} \sin \left (\frac {3 x}{2}\right )+c_{2} \cos \left (\frac {3 x}{2}\right ) \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 20
DSolve[y''[x]+9*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 \cos (3 x)+c_2 \sin (3 x) \\ \end{align*}