Internal problem ID [166]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 5.1, second order linear equations. Page 299
Problem number: 10.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
Solve \begin {gather*} \boxed {y^{\prime \prime }-10 y^{\prime }+25 y=0} \end {gather*} With initial conditions \begin {align*} [y \relax (0) = 3, y^{\prime }\relax (0) = 13] \end {align*}
✓ Solution by Maple
Time used: 0.009 (sec). Leaf size: 14
dsolve([diff(y(x),x$2)-10*diff(y(x),x)+25*y(x)=0,y(0) = 3, D(y)(0) = 13],y(x), singsol=all)
\[ y \relax (x ) = \left (3-2 x \right ) {\mathrm e}^{5 x} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 16
DSolve[{y''[x]-10*y'[x]+25*y[x]==0,{y[0]==3,y'[0]==13}},y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to e^{5 x} (3-2 x) \\ \end{align*}