Internal problem ID [203]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 5.3, second order linear equations. Page 323
Problem number: 9.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }+8 y^{\prime }+25 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 25
dsolve(diff(y(x),x$2)+8*diff(y(x),x)+25*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = c_{1} {\mathrm e}^{-4 x} \sin \left (3 x \right )+c_{2} {\mathrm e}^{-4 x} \cos \left (3 x \right ) \]
✓ Solution by Mathematica
Time used: 0.017 (sec). Leaf size: 26
DSolve[y''[x]+8*y'[x]+25*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{-4 x} (c_2 \cos (3 x)+c_1 \sin (3 x)) \]