Internal problem ID [4687]
Book: Schaums Outline Differential Equations, 4th edition. Bronson and Costa. McGraw Hill
2014
Section: Chapter 12. VARIATION OF PARAMETERS. Supplementary Problems. page
109
Problem number: Problem 12.12.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
Solve \begin {gather*} \boxed {y^{\prime \prime }-60 y^{\prime }-900 y-5 \,{\mathrm e}^{10 x}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.003 (sec). Leaf size: 33
dsolve(diff(y(x),x$2)-60*diff(y(x),x)-900*y(x)=5*exp(10*x),y(x), singsol=all)
\[ y \relax (x ) = {\mathrm e}^{30 \left (1+\sqrt {2}\right ) x} c_{2}+{\mathrm e}^{-30 \left (\sqrt {2}-1\right ) x} c_{1}-\frac {{\mathrm e}^{10 x}}{280} \]
✓ Solution by Mathematica
Time used: 0.062 (sec). Leaf size: 45
DSolve[y''[x]-60*y'[x]-900*y[x]==5*Exp[10*x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {e^{10 x}}{280}+c_1 e^{-30 \left (\sqrt {2}-1\right ) x}+c_2 e^{30 \left (1+\sqrt {2}\right ) x} \\ \end{align*}